Question

(tan² theta)(cos² theta) = 1-cos² theta solve that​

Answer 1

To prove---> (tan²θ )(cos²θ ) = 1-cos²θ

Proof--->(tan²θ)(cos²θ)

           =>(sin²θ/cos²θ)(cos²θ)

           =>sin²θ

           =>1-cos²θ=RHS

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Answer 2

To prove: (Tan² theta)(Cos² theta) = 1-Cos² theta

Proof:

As we know that,

Tan theta = Sin theta/Cos theta

Therefore,

Tan² theta= (Sin theta/Cos theta)²

Tan² theta=Sin² theta/Cos² theta

According To Que,

(Tan² theta)(Cos² theta) = 1-Cos² theta

(Sin² theta/Cos² theta) Cos² theta= 1-Cos² theta

Cos² theta will cancel by Cos² theta, And we get

Sin² theta =1-Cos² -(1)

According to identity,

•Sin² theta + Cos² theta=1

Sin² theta= 1- Cos² theta

Putting this value in equation (1) , We get

1-Cos² theta= 1- Cos² theta

LHS=RHS

Hence Proved.