please ans correctly please
Answers
Step-by-step explanation:
1)First substitute
2)Use formula
3) Arrange them by suitable formula
4) Simplify
Then, you will get answer
Answer:
cosθ = p+1
hence proved
Step-by-step explanation:
given :
Cosecθ + cotθ = p
to prove
cosθ = p+1
solution:
R.H.S
= p+1
= (Cosecθ + cotθ)^2 -1/(Cosecθ + cotθ)^2 + 1
= Cosec^2θ + cot^2θ+ 2 cosecθ cotθ -1÷
Cosec^2θ + cot^2θ+ 2 cosecθ cotθ+1
= Cosec^2θ-1 + cot^2θ+ 2 cosecθ cotθ ÷
Cosec^2θ + cot^2θ +1 + 2 cosecθ cotθ
= cot^2θ + cot^2θ+ 2 cosecθ cotθ÷
Cosec^2θ + Cosec^2θ + 2 cosecθ cotθ
=2cot^2θ+ 2 cosecθ cotθ÷
2 Cosec^2θ+ 2 cosecθ cotθ
=2 cotθ( cotθ+cosecθ) ÷
2cosecθ(cosecθ+cotθ)
=cosθ÷sinθ / 1 ÷ sinθ
= cosθ/1
=cosθ
=L.H.S
hence proved
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