Question

Trigonometric Ratios

Practice Active
Find a possible solution to the equation cos(x+2) = sin(3x).
A. x = 0.50
B. x = 1°
C. X= 22°
D. X= 449
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Answer 1

C. x=22°

Explanation:

Since the principles of sine and cosine are based upon right triangles, the two angles have to be complementary, adding up to 90. Thereby, in your equation, (x+2) + (3x) = 90. Combining like terms gives you:

4x + 2 = 90 subtract 2 from both sides

- 2 -2

4x = 88 divide both sides by 4

4 4

x = 22