Question

Solve for x;
x = [(tanA + cot A)^2] (sinA)^2 – (tan A)^2​

Answer 1

Answer:

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Step-by-step explanation:

LHS=

(1+tan

2

A)

2

tanA

+

(1+cot

2

A)

2

cotA

(sec

2

A)

2

tanA

+

(cosec

2

A)

2

cotA

=

cos

4

A

1

cosA

sinA

+

sin

4

A

1

sinA

cosA

=sinAcos

3

A+cosAsin

3

A

=sinAcosA[sin

2

A+cos

2

A]

=sinAcosA=RHS

Hence proved.