Questions
If and be respectively the smallest and the largest values of which satisfy the equation then is equal to:
detailed solution
Correct option is C
2cot2θ−5sinθ+4=0⇒2cos2θsin2θ−5sinθ+4=0⇒2cos2θ−5sinθ+4sin2θ=0,sinθ≠0⇒2sin2θ−5sinθ+2=0⇒2sinθ−1sinθ−2=0⇒sinθ=12⇒θ=π6,5π6∴∫π/65π/6cos23θdθ=∫π/65π/61+cos6θ2dθ =12θ+sin6θ6π/65π/6 =125π6−π6+160−0 =12.4π6=π3Similar Questions
If then the value of is
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