Question

I Cosec O - Cot o = 1
then find the value of
Cosec + Coto ?​

Answer 1

Step-by-step explanation:

cosecθ−cotθ=2⟶(1)

Now, (cosec2θ−cot2θ)=1

⇒(cosecθ−cotθ)(cosecθ+cotθ)=1

⇒2(cosecθ+cotθ)=1

⇒(cosecθ+cotθ)=1/2⟶(2)

Adding (1)&(2), we get

⇒2cosecθ=2+1/2=5/2

⇒cosecθ=5/4

⇒cosec²θ=25/16

Again (2)−(1), we get

⇒2cotθ=1/2−2=−3/2

⇒cotθ=−3/4

⇒cot²θ=9/16

⇒cosec²θ+cot²θ=34/16=17/8