Q. 33.9( 11 Votes )

Write the value o

Answer :


To find: the value of the given expression

Explanation: given

As we know,

Substituting this in the given expression, we get

On combining we get,

But we know sin2θ + cos2θ = 1

sin2θ = 1 – cos2θ

Now substituting the above value in equation (i), we get

= – 1

Hence the given value of the expression is–1


Given: sin θ = cos θ

To find: the value of 2 tan θ + cos2θ

Explanation: given sin θ = cos θ

But we know this equal to tan θ.

Hence tan θ = 1

But this is possible for the value

θ = 45°………. (i)

We will take the next expression 2 tan θ + cos2θ.

Substituting the value of θ from equation (i), we get

2 tan (45°) + cos2(45°) ………. (ii)

We know tan (45°) = 1 and cos (45°)

Substituting these values in equation (ii), we get

Hence the value of 2 tan θ + cos2θ = .

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