Convert Angles in Degrees to Degree and Minutes and vice versa.

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Presentation transcript:

Convert Angles in Degrees to Degree and Minutes and vice versa

1° = 60’ 1 degree = 60 minutes

Degree and Minutes → Degree 81°12’ = ? °

30°, 45° and 60° Trigonometric Ratios of Special Angles

Trigonometric Ratios A B O  opp adj hyp

Special Angle: 45° º 1 SOH CAH T0A

60º 1 2 SPECIAL ANGLE: 60° º

Special Angle: 0° and 90° Sin 0° = Sin 90° = Cos 0° = Cos 90° = Tan 0° = Tan 90° =  1

Without using calculator, find 5 cos 60° - 2 tan 45° + 3 sin 30 ° = 5(0.5) – 2(1) + 3(0.5) = 2.5 – = 2

cos 120° - 2 tan 135° + 3 sin 150 ° = - cos 60° – 2(- tan 45°) + 3(sin 30°) = (- 0.5) – 2(-1) + 3(0.5) = = 3

cos 180° - 3 tan 0° + 3 sin 90 ° = – 1 – 3(0) + 3(1) = 2