Q. 35.0( 2 Votes )

# Write the value o

Answer :

Given: To find: the value of given expression

Explanation: given But we know, Substituting this in 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

OR

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

2tan (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 = Rate this question :

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