Question

if theta is an acute angle and sin theta = cos theta, find : 3 tan^2
+ 2 sin^2 theta+cos^2 thata-1.
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Answer 1

Answer:

then....

3 sin²/sin² + 2sin² theta + sin² theta -1

= 3+3sin² theta -1

=3sin² theta +2

Now, since sin theta = cos theta....

theta = 45°

3sin²(45)+2

=3(1/√2)²+2

=3/2+2

=7/2