pl ans this que in pic
Attachments:
Answers
Answered by
6
Step-by-step explanation:
LHS:
Given Equation is (1/cosecθ + cotθ) - (1/sinθ)
On rationalizing, we get
= (1/cosecθ + cotθ) * (cosecθ - cotθ/cosecθ - cotθ) - cosecθ
= (cosecθ + cotθ/cosec²θ - cot²θ) - cosecθ
= (cosecθ + cotθ/1) - cosecθ
= cosecθ + cotθ - cosecθ
= cotθ.
RHS:
Given Equation is (1/sinθ) - (1/cosecθ - cotθ)
= cosecθ - (1/cosecθ - cotθ) * [(cosecθ + cotθ)/(cosecθ + cotθ)]
= cosecθ - (cosecθ - cotθ)/(cosec²θ - cot²θ)
= cosecθ - cosecθ + cotθ
= cotθ
∴ LHS = RHS
Hope it helps!
Answered by
3
Step-by-step explanation:
Answer is explained!
Attachments:
Similar questions