Q. 33.9( 11 Votes )

Write the value o

Answer :

Given:


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


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


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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