Question

If 15 tan 0 = 8 Find values of cos 8 & Cosec O.​

Answer 1

Given : 15 Tanθ =  8

To Find : Cosθ  and Cosecθ

Solution:

15 Tanθ =  8

=> Tanθ =  8/15

Sec²θ = 1 + tan²θ

=> Sec²θ = 1 + (8/15)²

=> Sec²θ = (15²+ 8²)/15²

=> Sec²θ = (17² )/15²

=> Secθ = 17/15

Cosθ  = 1/Secθ

=> Cosθ  = 1/ (17/15 )

=> Cosθ  = 15/17

Sin²θ = 1 - Cos²θ

=> Sin²θ = 1 - (15/17)²

=>  Sin²θ =(8/17)²

=> Sinθ = 8/17

Cosecθ = 1/Sinθ

=> Cosecθ = 1/(8/17)

=> Cosecθ = 17/8

Cosθ  = 15/17 , Cosecθ = 17/8

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