Question

If cosec θ − cot θ = α, write the value of cosec θ + cot α.

Answer 1

Answer:

The value of cosec θ + cot θ is  1/α .

Step-by-step explanation:

Given : cosec θ − cot θ = α

By using an identity cosec² θ - cot² θ = 1

(cosec θ + cot θ)  (cosec θ - cot θ) = 1

[By using identity , a² - b² = (a + b) (a - b) ]

(cosec θ + cot θ) α = 1

(cosec θ + cot θ) = 1/α

Hence, the value of cosec θ + cot θ is  1/α .

HOPE THIS ANSWER WILL HELP YOU…

Answer 2

Answer:

The value of cosec theta + cot alphaa = 1/alphaa