Multiple Choice Questions on If alpha beta and gamma are acute angles such that sin alpha radic 3 2 cos beta radic 3 2 and tan ga........... for Mathematics - All Exams Preparation

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Multiple Choice Questions

If alpha beta and gamma are acute angles such that sin alpha radic 3 2 cos beta radic 3 2 and tan ga...........

Quantitative Aptitude ( CCS) Trignometry
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    If α, β and γ are acute angles such that sin α = (√3/2), cos β = (√3/2) and tan γ = 1, then what is α + β + γ equal to?

    105°

    Incorrect Answer

    120°

    Incorrect Answer

    135°

    Correct Answer

    150°

    Incorrect Answer
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    Explanation:

    sin α = √3/2
    ⇒ sin α = sin 60°
    ⇒  α = 60°
    cos β = √3/2
    ⇒ cos β = cos 30°
    ⇒ β = 30°
    and tan γ = 1   ⇒  γ = 45°
    ∴ α +β + γ = 60° + 30° + 45° = 135°.

    By: Amit Kumar
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