Answer in Brief
If cosec θ − cot θ = α, write the value of cosec θ + cot α.
Advertisement Remove all ads
Solution
Given: `cosec θ-cot θ=α`
We know that, `cosec^2θ-cot^2θ=1`
Therefore,
`cosec^2 θ-cot^2θ=1`
⇒ `(cosec θ+cot θ) (cosec θ-cot θ)=1`
⇒ `(cosecθ+cot θ )α=1`
⇒ `(cosec θ+cot θ)=1/α`
Concept: Trigonometric Identities
Is there an error in this question or solution?
Advertisement Remove all ads
APPEARS IN
Advertisement Remove all ads
Advertisement Remove all ads
