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Home > PC > Chapter 7 > Lesson 7.3.2 > Problem 7-113

7-113.

Given and where , , find the exact value of each trig expression.

  1. Draw a reference triangle in Quadrant 1 for both angles.

    2 circles, each with a right triangle, hypotenuse as a radius in the first quadrant, left labeled, horizontal leg 3, hypotenuse 5, central angle A, right labeled, horizontal leg 12, vertical leg 5, central leg theta.

    Label the 3rd side.
    Both are pythagorean triples: and

    Find sin A from the triangle sides.

  1. Find from the triangle sides.

  1. Use the sum and difference formula:
    sin(A + B) = sinAcosB + cosAsinB

  1. Use the sum and difference formula: