Quick Question: Find the missing side of this triangle. Find the lengths of sides a and b. Find The measure of the missing angle. Find the measure of 𝞱 in the triangle below.

Quick Question: Find the missing side of this triangle. Express its length using simplified radicals. 𝒂 𝟐 + 𝒃 𝟐 = 𝒄 𝟐 𝟕 𝟐 + 𝒃 𝟐 = 𝟏𝟖 𝟐 𝟒𝟗+ 𝒃 𝟐 =𝟑𝟐𝟒 𝒃 =𝟏𝟔.𝟓

Quick Question: Find the lengths of sides a and b. Find The measure of the missing angle. 31.18 b b Sin 60 = opp hyp 27 31.18 Cos 60 = adj hyp a b 31.18 b = 27 Sin 60 15.59 b = 31.18 31.18

Quick Question: Find the measure of 𝞱 in the triangle below. Hyp = 12 adjacent = 9 Cos = adj hyp Cos -1 𝞱 = 𝟗 𝟏𝟐 𝞱 = 𝟒𝟏.𝟒

I can determine which trig function to use to solve problems. Today’s Objective: I can determine which trig function to use to solve problems.

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What do you notice about these triangles? What do you predict about these triangles?

Find the tangent of the angle 𝞱 for each triangle. What do you notice?

Does having the same angle measures mean the triangles are identical?

Match Game: You have 9 different triangles that represent different applications 2. Decide which trig function you would use to solve each problem for x. 3. Place each card in one of the squares on the placemat in the column that matches that function.

White Board Practice:

Find the tangent of theta. Express to nearest thousandths place. Tan = Opp Adj Tan = 4 3 Tan = 1.333

Find the cosine of C to the nearest thousandths. cos C = adj hyp Cos C = 8 = .800 10

Find the length of side AC. sin 70= opp hyp sin 70= x 4 4 4 3.76

Find the length of the hypotenuse. Sin 52 = opp hyp Sin 52 = 12 x x Sin 52 = 12 x x X x = 12 Sin 52 X = 15 .22