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IB Math SL1/Intensified Precalculus Name 10.J Worksheet For 1 and 2: Use an angle sum or difference identity to find the exact value of each. 1. sin 5π 12 ( 2. cos −15o ) For 3 and 4: Use a double-angle identity to find the exact value of each expression. 3. sin 5π 12 5. Given sin θ = 4. tan195o 7 π and < θ < π . Find: sin 2θ 25 2 3 6. Given sin θ = − and 180o < θ < 270o . Find: tan 2θ 5 7. Given cos 2θ = 10 π and 0 < 2θ < . Find: csc θ 10 2 7π ⎛ 8. Solve the equation for −π ≤ θ ≤ π : −5 − 4 cos ⎜ −4θ + 4 ⎝ ⎞ ⎟ = −2 3 − 5 ⎠ For 9 and 10: Find the exact value of the following given that sin x = 5 3 , cos y = − where 13 5 both x and y are in quadrant 2. 9. sin ( x + y ) 10. cos ( y − x ) ANSWER KEY 1. 2. 3. 6+ 2 4 6+ 2 4 1 3 + 2 4 2− 3 2+ 3 336 5. − 625 4. 6. 24 7 7. 20 10 − 10 29π 25π 5π π 19π 23π 43π 47π ,− ,− ,− , , , , 48 48 48 48 48 48 48 48 63 9. − 65 56 10. 65 8. −