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Topic 3: Finding the values of trigonometric functions of acute angles 1. Two sides of a right triangle ABC (C is the right angle) are given. Find the indicated trigonometric function of the given angle (exact value). B (a) sin A when a = 5 and b = 6. a (b) sec B when a = 2 and b = 7. 2. Find the exact value of each expression. (a) − sec700 csc 200 (b) A b C csc 2 600 − tan 2 300 3. If the smallest angle of a right triangle is A = 270 and the length of the hypotenuse is 8 cm, find the length of the shortest side in terms of a trigonometric function. Answers 1. (a) 5 (b) 61 2. (a) -1 3. a=8sin270 (b) 1 53 2