Question

coseca+cota=p then coseca-cota=​

Answer 1

Answer:

Given, cosec θ + cot θ = p...(i)

We know that,  cosec2θ−cot2θ=1

⇒(cosecθ+cotθ)(cosecθ−cotθ)=1

⇒p(cosecθ−cotθ)=1

⇒cosecθ−cotθ=1p ....(ii)

Adding i and ii, we get

2cosecθ=p+1p

cosecθ=p2+12p

⇒sinθ=1cosecθ=2pp2+1

We know that,cosθ=1−sin2θ−−−−−−−−√=1−4p2(p2+1)2−−−−−−−−√=p4+1−2p2(p2+1)2−−−−−−−√

cosθ=(p2−1)2(p2+1)2−−−−−√=p2−1p2+1

Step-by-step explanation:

Answer 2

Answer:

Full explanation on the attachment ☝