Question

If cosec teta -cot teta = 1/4. find cosec teta + cot teta

Answer 1

Answer:

cosec teta + cot teta = 4

Step-by-step explanation:

cosec teta - cot teta=1/4_____ equation 1

we know that trigonometric indentity:-

cosec^2 teta - cot^2 teta=1

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

by algrebric identity

x^2-y^2=(x-y)

1/4(cosec teta +cot teta)=1 ____ from equation 1

cosec teta + cot teta =4

therefore,

cosec teta + cot teta =4