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9. Give the radian measure of 0 if: a. r = 5 and s = 6 simplify 19. cos' y + cosy sin b. r

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9. Give the radian measure of 0 if: a. r = 5 and s = 6 simplify 19. cos' y + cosy sin b. r = 8 and s = 6 simplify 15. (sin x + cos x) + (sin x - cos x)2 simplify 3. a. 1 + cot A b. (CSC A - 1)(cSC A + 1) c. 1 given sin A tan A prove identity 33. tan x - sin~ x = tan x sin x and 9. The legs of an isosceles right triangle are 1 unit long. a. Find the length of the hypotenuse in simplest radical form. b. Use part (a) to find the exact value of each of the following. (1) tan 450 (2) sin 450 (3) cos 45 c. Convert the answers in part (b) to decimal form. Compare these with the 23. sin* 0 - cos* 0 values of tan 450, sin 45, and cos 450 obtained from the calculator. 10. The hypotenuse of a 30-60-90 triangle is 2 units long. a. Find the lengths of the legs in simplest radical form. sin 0 - cos2 0 b. Use part (a) to find the exact value of each of the following. (1) sin 30 (2) sin 60 (3) tan 30 (4) tan 60 c. Convert the answers in part (b) to decimal form. Compare these with the values of sin 30%, sin 60, tan 30%, and tan 60 obtained from the calculator. 7. A sector of a circle has central angle 30 and arc length 3.5 cm. Find its area to the nearest square centimeter. Study the sine and cosine values of 30", 45", and bu. Then give the exact value of each expression in simplest radical form. 11. a. cos 450 b. cos 1350 C. sin 210 d. cos 150 3. y = sin x, y = sin ~x simplify 9. (sec B - tan B) (sec B + tan B) 5. y = 2 sin 3x give 11. 4 Y un equation 9 of 2 n

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