Question

trigonometry identieß​

Answer 1

Given :    Sin(90 + 15)Cosec(-15)Cot(180 - 15) /  Cosec(360 - 15)Cos(180 + 15)Tan(90 - 15)

To find :  Value  

Solution:

Sin(90 + θ) =  Cosθ

Cosec(-θ) = -Cosecθ

Sin(-θ ) = - Sinθ

Cot(180 - θ)  = - Cotθ  = -Cosθ / Sinθ

Cosec(360 - θ)  = - Cosecθ

Cos(180 + θ) = - Cosθ

Tan(90 -  θ) =  Cotθ

Using these identities

Sin(90 + 15)Cosec(-15)Cot(180 - 15) /  Cosec(360 - 15)Cos(180 + 15)Tan(90 - 15)

= Cos15(-Cosec15)(-Cot15)/(-Cosec15)(-Cos15)Cot15

= 1/1

= 1

Sin(90 + 15)Cosec(-15)Cot(180 - 15) /  Cosec(360 - 15)Cos(180 + 15)Tan(90 - 15) = 1

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Answer 2

Answer:

1ist I the correct answer for your question