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2 years ago

For an acute angle θ, the equation sin (θ) = cos (7°)is true. What is the value of θ?

Mathematics

1 answer:

8_murik_8 [283]2 years ago

5 0

Answer:

θ = 83°

Step-by-step explanation:

For acute angles, the sine of an angle is the cosine of its complement, and vice versa.

sin(θ) = cos(90° -θ) . . . . relation between sine and cosine

sin(θ) = cos(7°) . . . . . . . . given

90° -θ = 7° . . . . . . . . . matching arguments of cos( )

θ = 83° . . . . . . . . . add θ -7° to both sides

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<h3>How to determine the next step?</h3>

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