Question

pls help me solve this problem ​

Answer 1

Step-by-step explanation:

Taking A in the place of theta

LHS= tanA - cotA

HS= tanA - cotA = sinA/cosA - cosA/sinA

= sin^2 A - cos^2 A/cosA.sinA

=sin^2 A - (1-sin^2 A)/cosA.sinA

= sin^2 A - 1 + sin^2 A/cosA.sinA

= 2sin^2 A - 1/sinA.cosA

Middle term= 2sin^2 A - 1/sinA.cosA

RHS= 1 - 2cos^2 A /sinA.cosA

= sin^2 A+ cos^2 A - 2cos^2 A/sinA.cosA

= sin^2 A - cos^2 A/sinA.cosA

= sin^2 A - 1+ sin^2 A/sinA.cosA

= 2sin^2 A - 1/sinA.cosA

Hence proved

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