Question

if sin theta = cos theta ,find the value of 3 tan square theta + 2 sin square theta - 1

Answer 1

sin@=cos@
it means =@=π/4



3 tan²@+2sin²@-1
=3sin²@/cos²@+2sin²@-1
=3(1)+2sin²@-1
=2+2sin²@
=2(1+sin²@)
=2(1+sin²π/4)
=2(1+(1/√2)²)
=2(1+1/2)
=2(3/2)=3

Answer 2

Sin theta =cos theta
Sin 45=cos 45
So,theta =45
Then,
3tan square theta +2sin Square theta - 1=
3(1)^2+2(1/root2)^2-1
3*1+2*1/2-1
3+1-1
3