Question

Find the value of (1 + tan2θ) cos2θ​

Answer 1

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Find the value of (1 + tan2θ) cos2θ

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As per the question,

We have been prove that cos²0(1 + tan²0) = 1

Consider LHS, we have

cos²0(1 + tan²0)

Now,

By using the trigonometric identity

sin²0 + cos²0 = 1

tane sine/cose

We can write by putting the value of tane.

= cos²0(1+tan²0)

= cos²0(1 + (sine/cose)²)

= sin²0 + cos²0

= 1= RHS

Therefore,

LHS = RHS

Hence, proved.

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