Question

{√(sinA+cosA) × 1/tanA }ⁿ= 18
Then what is value of A and n if A= 18n

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Answer 1

Step-by-step explanation:

We have, cosec A = 2

Now, sin A =

⇒ sin A =

We know that sin² A + cos² A = 1

⇒ cos² A = 1 - sin² A

⇒ cos A = √(1-sin² A)

⇒ cos A = √{1- }

⇒ cos A = √(1 - )

⇒ cos A = √()

⇒ cos A =

We know that tan A =

⇒ tan A =

⇒ tan A =

We need to find +

Substituting the values of each trigonometric function obtained earlier, we get:

+ = +

= +

= +

=

=

= ×

=

= 8-6

= 2