Question

If tan square theta = cot square ( theta+54) find theta

Answer 1

Here, theta is written as A and degree is not written in calculation.

Answer:

18°

Step-by-step explanation:

From the properties of trigonometric ratios:

      tanA = cot( 90 - A ).

Here,

⇒ tan^2 A = cot^2 ( A + 54 )

⇒ tanA = cot( A + 54 )

⇒ cot( 90 - A ) = cot( A + 54 )

⇒ 90 - A = A + 54

⇒ 90 - 54 = A + A

⇒ 36 = 2A

⇒ 36 / 2 = A

⇒ 18 = A