Question

if 13 sin theta=5 where theta is an acute angle.find the value of
2sin theta+cos theta/sec2theta-tan2theta​

Answer 1

Answer : 22/13

Sin theta =5/13

Sin^2theta + cos ^2 theta =1

Cos ^2 theta = 1- (5/13)^2

=1-25/169

=169-25/169

=144/169

Cos theta = 12/13

*(2 Sin theta + cos theta)/(sec^2 theta - tan ^2 theta)

(2 sin theta + cos theta) /1

(2*5/13+12/13)=10/13+12/13 =22/13