Question

Cot Q - tan Q
=
2 Cos²Q-1/
Sin Q cos Q​

Answer 1

Answer:

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Step-by-step explanation:

LHS = tan Q + cot Q

= sin Q/cos Q + cos Q/sin Q

= sin² Q + cos²Q/cos Q. sin Q

= 1/sin Q. cos Q

= RHS

LHS = RHS

here, we used the identity :

tan A = sin A/cos A

cot A = cos A/sin A

sin²A+cos²A = 1

hope it helps

Answer 2

Answer:

Cot Q - tan Q = 2 Cos²Q-1/Sin Q cos Q

LHS

= cosQ / sinQ - sinQ/cosQ

= (cos²Q - sin²Q)/sinQ.cosQ

= (cos²Q -(1-cos²Q) / sinQ.cosQ

=( 2cos²Q - 1)/sinQ.cosQ

LHS = RHS

hence proved

hope this will help you