Question

if 4 sin² theta- 1 = 0 then find theta (theta < 90⁰) also find the value of cos²+ tan²theta ?​

Answer 1

Answer:

θ=30°

cos²θ+tan²θ=13/12

Step-by-step explanation:

4sin²θ-1=0

4sin²θ=1

sin²θ=¼

sinθ=√¼

sinθ=½

θ=30°

cos²θ+tan²θ

=cos²30°+tan²30°

=(√3/2)²+(1/√3)²

=3/4+1/3

=(9+4)/12

=13/12