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