Question

If cosec theta-cot theta =k then find value of cosec theta + cot theta​

Answer 1

cosec²∅ - cot²∅ = 1

=> (cosec∅ - cot∅)(cosec∅ + cot∅) = 1

=> k(cosec∅ + cot∅) = 1

=> cosec∅ + cot∅ = 1/k

Answer 2

Answer:

1/k

Step-by-step explanation:

Concept= Trigonometry

Given= The value of a equation.

To find= The value of another equation.

Explanation=

We have been given the question as if cosec theta-cot theta =k then find value of cosec theta + cot theta​.

So we have been given that, cosecθ - cotθ = k.

According to our known trigonometric identity we know that,

cosec²θ - cot²θ =1

Now proceeding with this identity, we first break the identity:

=> cosec²θ - cot²θ =1

=> (cosecθ - cotθ)(cosecθ + cotθ) = 1

We will replace the value of cosecθ - cotθ  here by k which is known to us.

=> k(cosecθ + cotθ) =1

=> cosecθ + cotθ = 1/k

Hence we needed to find the value of cosecθ + cotθ which comes out to be 1/k.

Therefore cosecθ + cotθ  = 1/k.

#SPJ2