Question

if 4 sin square theta - 1 equal to then find theta is less than 90 degrees also find the value of cos square theta + tan square theta​

Answer 1

Step-by-step explanation:

4sin2θ−1=0

4sin2θ=1

sinθ=21 (Neglecting the negative value, since θ<90∘)

sinθ=sin30∘

θ=30∘

Now, cos2θ+tan2θ

= cos230∘+tan230∘

= (23)2+(31)2

= 43+31

= 129+4

= 1213