Question

If tan 2A = cot (A - 18°), where 2A is an acute angle , find the value of

“A​

Answer 1

EXPLANATION.

tan2A = cot(A - 18°).

2A is an acute angles.

As we know that,

We can write equation as,

⇒ cot(90° - 2A) = cot(A - 18°).

⇒ 90° - 2A = A - 18°.

⇒ 90° + 18° = A + 2A.

⇒ 108° = 3A.

⇒ A = 108°/3.

⇒ A = 36°.

                                                                                                                         

MORE INFORMATION.

Trigonometric sign functions.

(1) = sin(-θ) = -sinθ.

(2) = cos(-θ) = cosθ.

(3) = tan(-θ) = -tanθ.

(4) = cosec(-θ) = -cosecθ.

(5) = sec(-θ) = secθ.

(6) = cot(-θ) = -cotθ.

Answer 2

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