Question

If cos 9α = sinα and 9α < 90° , then the value of tan5α is

Answer 1

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Answer 2

Concept

Trigonometric functions are used to determine the value of trigonometric angles.The trigonometric functions are sin, cos, tan, sec, cosec, cot.Trigonometry angles are the angles given by the ratio of sides in a triangle.Mainly trigonometric angles are 0° 30° 45° 60° 90°.The value of angles lies between 0 to 360°.

Given

cos 9A = sin A

9A < 90°

Find

Solve the problem and find the value of tan 5A

Solution

cos 9A = sin A

cos 9A = cos (90-A)

9A = 90° - A

10A = 90°

A = 9°

tan 5A = tan 45°

tan 45° = 1

So the value of tan 5A is 1

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