Trigonometry – Introduction – Worksheet A This resource includes three worksheets designed to aid the discovery of Sine, Cosine & Tangent trigonometric ratios. Each worksheet is in a variety of sizes.
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𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = Discovering Trigonometry B5 Measure each triangle and complete the table. B4 B3 Triangle 1 B2 B1 15° A C1 C2 C3 C4 C5 We want to find the ratio of the opposite side to the hypotenuse. Labelling a right-angled triangle Hypotenuse Opposite Side 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = Adjacent Side
SINE Discovering Trigonometry B5 Give your answers to 2 decimal places. Measure each of the four triangles and complete the tables opposite. B4 Triangle 1 - 15° 𝐵1𝐶1 𝐴𝐵1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐵2 = 𝐵3𝐶3 𝐴𝐵3 = 𝐵4𝐶4 𝐴𝐵4 = 𝐵5𝐶5 𝐴𝐵5 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = Triangle 2 - 30° 𝐵1𝐶1 𝐴𝐵1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐵2 = 𝐵3𝐶3 𝐴𝐵3 = 𝐵4𝐶4 𝐴𝐵4 = 𝐵5𝐶5 𝐴𝐵5 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = B3 B2 Triangle 1 B1 15° A C1 C2 C3 C4 C5 B3 B4 B5 B3 Triangle 2 B2 Triangle 3 B1 B2 B4 30° C1 C2 C3 C4 Triangle 3 - 80° 𝐵1𝐶1 𝐴𝐵1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐵2 = 𝐵3𝐶3 𝐴𝐵3 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = Triangle 4 - 60° 𝐵1𝐶1 𝐴𝐵1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐵2 = 𝐵3𝐶3 𝐴𝐵3 = 𝐵4𝐶4 𝐴𝐵4 = 𝐵5𝐶5 𝐴𝐵5 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = B3 Opposite Side Adjacent B1 Hypotenuse B2 B1 Triangle 4 What comments can you make about the ratio of the opposite side to the hypotenuse of a triangle? 80° 60° A SINE C1 C2 C3 C1 C2 C3 C4 C5
𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = Discovering Trigonometry B5 Measure each triangle and complete the table. B4 B3 Triangle 1 B2 B1 15° A C1 C2 C3 C4 C5 We want to find the ratio of the adjacent side to the hypotenuse. Labelling a right-angled triangle Hypotenuse Opposite Side 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = Adjacent Side
COSINE Discovering Trigonometry B5 Give your answers to 2 decimal places. Measure each of the four triangles and complete the tables opposite. B4 Triangle 1 - 15° 𝐴𝐶1 𝐴𝐵1 = 111111 111111 = 𝐴𝐶2 𝐴𝐵2 = 𝐴𝐶3 𝐴𝐵3 = 𝐴𝐶4 𝐴𝐵4 = 𝐴𝐶5 𝐴𝐵5 = Mean = 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = Triangle 2 - 30° 𝐴𝐶1 𝐴𝐵1 = 111111 111111 = 𝐴𝐶2 𝐴𝐵2 = 𝐴𝐶3 𝐴𝐵3 = 𝐴𝐶4 𝐴𝐵4 = 𝐴𝐶5 𝐴𝐵5 = Mean = 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = B3 B2 Triangle 1 B1 15° A C1 C2 C3 C4 C5 B3 B4 B5 B3 Triangle 2 B2 Triangle 3 B1 B2 B4 30° C1 C2 C3 C4 Triangle 3 - 80° 𝐴𝐶1 𝐴𝐵1 = 111111 111111 = 𝐴𝐶2 𝐴𝐵2 = 𝐴𝐶3 𝐴𝐵3 = Mean = 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = Triangle 4 - 60° 𝐴𝐶1 𝐴𝐵1 = 111111 111111 = 𝐴𝐶2 𝐴𝐵2 = 𝐴𝐶3 𝐴𝐵3 = 𝐴𝐶4 𝐴𝐵4 = 𝐴𝐶5 𝐴𝐵5 = Mean = 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = B3 Opposite Side Adjacent B1 Hypotenuse B2 B1 Triangle 4 What comments can you make about the ratio of the adjacent side to the hypotenuse of a triangle? 80° 60° A COSINE C1 C2 C3 C1 C2 C3 C4 C5
𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 = Discovering Trigonometry B5 Measure each triangle and complete the table. B4 B3 Triangle 1 B2 B1 15° A C1 C2 C3 C4 C5 We want to find the ratio of the opposite side to the adjacent side. Labelling a right-angled triangle Hypotenuse Opposite Side 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 = Adjacent Side
TANGENT Discovering Trigonometry B5 Give your answers to 2 decimal places. Measure each of the four triangles and complete the tables opposite. B4 Triangle 1 - 15° 𝐵1𝐶1 𝐴𝐶1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐶2 = 𝐵3𝐶3 𝐴𝐶3 = 𝐵4𝐶4 𝐴𝐶4 = 𝐵5𝐶5 𝐴𝐶5 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 = Triangle 2 - 30° 𝐵1𝐶1 𝐴𝐶1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐶2 = 𝐵3𝐶3 𝐴𝐶3 = 𝐵4𝐶4 𝐴𝐶4 = 𝐵5𝐶5 𝐴𝐶5 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 = B3 B2 Triangle 1 B1 15° A C1 C2 C3 C4 C5 B3 B4 B5 B3 Triangle 2 B2 Triangle 3 B1 B2 B4 30° C1 C2 C3 C4 Triangle 3 - 80° 𝐵1𝐶1 𝐴𝐶1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐶2 = 𝐵3𝐶3 𝐴𝐶3 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 = Triangle 4 - 60° 𝐵1𝐶1 𝐴𝐶1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐶2 = 𝐵3𝐶3 𝐴𝐶3 = 𝐵4𝐶4 𝐴𝐶4 = 𝐵5𝐶5 𝐴𝐶5 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 = B3 Opposite Side Adjacent B1 Hypotenuse B2 B1 Triangle 4 What comments can you make about the ratio of the opposite side to the adjacent side of a triangle? 80° 60° A TANGENT C1 C2 C3 C1 C2 C3 C4 C5
0.26 0.5 0.98 0.87 SINE Discovering Trigonometry B5 Give your answers to 2 decimal places. Measure each of the four triangles and complete the tables opposite. B4 Triangle 1 - 15° 𝐵1𝐶1 𝐴𝐵1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐵2 = 𝐵3𝐶3 𝐴𝐵3 = 𝐵4𝐶4 𝐴𝐵4 = 𝐵5𝐶5 𝐴𝐵5 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = 0.26 Triangle 2 - 30° 𝐵1𝐶1 𝐴𝐵1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐵2 = 𝐵3𝐶3 𝐴𝐵3 = 𝐵4𝐶4 𝐴𝐵4 = 𝐵5𝐶5 𝐴𝐵5 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = 0.5 B3 B2 Triangle 1 B1 15° A C1 C2 C3 C4 C5 B3 B4 B5 B3 Triangle 2 B2 Triangle 3 B1 B2 B4 30° C1 C2 C3 C4 Triangle 3 - 80° 𝐵1𝐶1 𝐴𝐵1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐵2 = 𝐵3𝐶3 𝐴𝐵3 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = 0.98 Triangle 4 - 60° 𝐵1𝐶1 𝐴𝐵1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐵2 = 𝐵3𝐶3 𝐴𝐵3 = 𝐵4𝐶4 𝐴𝐵4 = 𝐵5𝐶5 𝐴𝐵5 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = 0.87 B3 Opposite Side Adjacent B1 Hypotenuse B2 B1 Triangle 4 What comments can you make about the ratio of the opposite side to the hypotenuse of a triangle? 80° 60° A SINE C1 C2 C3 C1 C2 C3 C4 C5
0.97 0.87 0.17 0.5 COSINE Discovering Trigonometry B5 Give your answers to 2 decimal places. Measure each of the four triangles and complete the tables opposite. B4 Triangle 1 - 15° 𝐴𝐶1 𝐴𝐵1 = 111111 111111 = 𝐴𝐶2 𝐴𝐵2 = 𝐴𝐶3 𝐴𝐵3 = 𝐴𝐶4 𝐴𝐵4 = 𝐴𝐶5 𝐴𝐵5 = Mean = 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = 0.97 Triangle 2 - 30° 𝐴𝐶1 𝐴𝐵1 = 111111 111111 = 𝐴𝐶2 𝐴𝐵2 = 𝐴𝐶3 𝐴𝐵3 = 𝐴𝐶4 𝐴𝐵4 = 𝐴𝐶5 𝐴𝐵5 = Mean = 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = 0.87 B3 B2 Triangle 1 B1 15° A C1 C2 C3 C4 C5 B3 B4 B5 B3 Triangle 2 B2 Triangle 3 B1 B2 B4 30° C1 C2 C3 C4 Triangle 3 - 80° 𝐴𝐶1 𝐴𝐵1 = 111111 111111 = 𝐴𝐶2 𝐴𝐵2 = 𝐴𝐶3 𝐴𝐵3 = Mean = 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = 0.17 Triangle 4 - 60° 𝐴𝐶1 𝐴𝐵1 = 111111 111111 = 𝐴𝐶2 𝐴𝐵2 = 𝐴𝐶3 𝐴𝐵3 = 𝐴𝐶4 𝐴𝐵4 = 𝐴𝐶5 𝐴𝐵5 = Mean = 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = 0.5 B3 Opposite Side Adjacent B1 Hypotenuse B2 B1 Triangle 4 What comments can you make about the ratio of the adjacent side to the hypotenuse of a triangle? 80° 60° A COSINE C1 C2 C3 C1 C2 C3 C4 C5
0.27 0.58 5.67 1.73 TANGENT Discovering Trigonometry B5 Give your answers to 2 decimal places. Measure each of the four triangles and complete the tables opposite. B4 Triangle 1 - 15° 𝐵1𝐶1 𝐴𝐶1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐶2 = 𝐵3𝐶3 𝐴𝐶3 = 𝐵4𝐶4 𝐴𝐶4 = 𝐵5𝐶5 𝐴𝐶5 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 = 0.27 Triangle 2 - 30° 𝐵1𝐶1 𝐴𝐶1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐶2 = 𝐵3𝐶3 𝐴𝐶3 = 𝐵4𝐶4 𝐴𝐶4 = 𝐵5𝐶5 𝐴𝐶5 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 = 0.58 B3 B2 Triangle 1 B1 15° A C1 C2 C3 C4 C5 B3 B4 B5 B3 Triangle 2 B2 Triangle 3 B1 B2 B4 30° C1 C2 C3 C4 Triangle 3 - 80° 𝐵1𝐶1 𝐴𝐶1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐶2 = 𝐵3𝐶3 𝐴𝐶3 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 = 5.67 Triangle 4 - 60° 𝐵1𝐶1 𝐴𝐶1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐶2 = 𝐵3𝐶3 𝐴𝐶3 = 𝐵4𝐶4 𝐴𝐶4 = 𝐵5𝐶5 𝐴𝐶5 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 = 1.73 B3 Opposite Side Adjacent Hypotenuse B1 B2 B1 Triangle 4 What comments can you make about the ratio of the opposite side to the adjacent side of a triangle? 80° 60° A TANGENT C1 C2 C3 C1 C2 C3 C4 C5
SINE Discovering Trigonometry B5 Give your answers to 2 decimal places. Measure each of the four triangles and complete the tables opposite. B4 Triangle 1 - 15° 𝐵1𝐶1 𝐴𝐵1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐵2 = 𝐵3𝐶3 𝐴𝐵3 = 𝐵4𝐶4 𝐴𝐵4 = 𝐵5𝐶5 𝐴𝐵5 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = Triangle 2 - 30° 𝐵1𝐶1 𝐴𝐵1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐵2 = 𝐵3𝐶3 𝐴𝐵3 = 𝐵4𝐶4 𝐴𝐵4 = 𝐵5𝐶5 𝐴𝐵5 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = B3 B2 Triangle 1 B1 15° A C1 C2 C3 C4 C5 B3 B4 B5 B3 Triangle 2 B2 Triangle 3 B1 B2 B4 30° C1 C2 C3 C4 Triangle 3 - 80° 𝐵1𝐶1 𝐴𝐵1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐵2 = 𝐵3𝐶3 𝐴𝐵3 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = Triangle 4 - 60° 𝐵1𝐶1 𝐴𝐵1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐵2 = 𝐵3𝐶3 𝐴𝐵3 = 𝐵4𝐶4 𝐴𝐵4 = 𝐵5𝐶5 𝐴𝐵5 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = B3 Opposite Side Adjacent B1 Hypotenuse B2 B1 Triangle 4 What comments can you make about the ratio of the opposite side to the hypotenuse of a triangle? 80° 60° A SINE C1 C2 C3 C1 C2 C3 C4 C5
COSINE Discovering Trigonometry B5 Give your answers to 2 decimal places. Measure each of the four triangles and complete the tables opposite. B4 Triangle 1 - 15° 𝐴𝐶1 𝐴𝐵1 = 111111 111111 = 𝐴𝐶2 𝐴𝐵2 = 𝐴𝐶3 𝐴𝐵3 = 𝐴𝐶4 𝐴𝐵4 = 𝐴𝐶5 𝐴𝐵5 = Mean = 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = Triangle 2 - 30° 𝐴𝐶1 𝐴𝐵1 = 111111 111111 = 𝐴𝐶2 𝐴𝐵2 = 𝐴𝐶3 𝐴𝐵3 = 𝐴𝐶4 𝐴𝐵4 = 𝐴𝐶5 𝐴𝐵5 = Mean = 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = B3 B2 Triangle 1 B1 15° A C1 C2 C3 C4 C5 B3 B4 B5 B3 Triangle 2 B2 Triangle 3 B1 B2 B4 30° C1 C2 C3 C4 Triangle 3 - 80° 𝐴𝐶1 𝐴𝐵1 = 111111 111111 = 𝐴𝐶2 𝐴𝐵2 = 𝐴𝐶3 𝐴𝐵3 = Mean = 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = Triangle 4 - 60° 𝐴𝐶1 𝐴𝐵1 = 111111 111111 = 𝐴𝐶2 𝐴𝐵2 = 𝐴𝐶3 𝐴𝐵3 = 𝐴𝐶4 𝐴𝐵4 = 𝐴𝐶5 𝐴𝐵5 = Mean = 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒 = B3 Opposite Side Adjacent B1 Hypotenuse B2 B1 Triangle 4 What comments can you make about the ratio of the adjacent side to the hypotenuse of a triangle? 80° 60° A COSINE C1 C2 C3 C1 C2 C3 C4 C5
TANGENT Discovering Trigonometry B5 Give your answers to 2 decimal places. Measure each of the four triangles and complete the tables opposite. B4 Triangle 1 - 15° 𝐵1𝐶1 𝐴𝐶1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐶2 = 𝐵3𝐶3 𝐴𝐶3 = 𝐵4𝐶4 𝐴𝐶4 = 𝐵5𝐶5 𝐴𝐶5 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 = Triangle 2 - 30° 𝐵1𝐶1 𝐴𝐶1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐶2 = 𝐵3𝐶3 𝐴𝐶3 = 𝐵4𝐶4 𝐴𝐶4 = 𝐵5𝐶5 𝐴𝐶5 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 = B3 B2 Triangle 1 B1 15° A C1 C2 C3 C4 C5 B3 B4 B5 B3 Triangle 2 B2 Triangle 3 B1 B2 B4 30° C1 C2 C3 C4 Triangle 3 - 80° 𝐵1𝐶1 𝐴𝐶1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐶2 = 𝐵3𝐶3 𝐴𝐶3 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 = Triangle 4 - 60° 𝐵1𝐶1 𝐴𝐶1 = 111111 111111 = 𝐵2𝐶2 𝐴𝐶2 = 𝐵3𝐶3 𝐴𝐶3 = 𝐵4𝐶4 𝐴𝐶4 = 𝐵5𝐶5 𝐴𝐶5 = Mean = 𝑂𝑝𝑝𝑜𝑠𝑖𝑡𝑒 𝐴𝑑𝑗𝑎𝑐𝑒𝑛𝑡 = B3 Opposite Side Adjacent B1 Hypotenuse B2 B1 Triangle 4 What comments can you make about the ratio of the opposite side to the adjacent side of a triangle? 80° 60° A TANGENT C1 C2 C3 C1 C2 C3 C4 C5
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