How to solve this trigonometric question?

sin x = 3/5 and 0 <x<π/2, 

calculate tan (π/2+2x)

2 Answers

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  • Vaman
    Lv 7
    1 month ago

    tan (pi/2+2x)= sin(pi/2+2x)/(cos(pi/2+2x))

    = -cos 2x/sin 2x

    sin x=3/5 cos x=(4/5)

    cos 2x =cos^2x-sin^2 x= 16/25-9/25=7/25

    sin 2x= 2 sin x cos x=2 *3/5*4/5=24/25

    tan(pi/2+2x)=-7/25*25/24= -7/24

    =-0.29167

    I hope, this value is correct.

  • Bryce
    Lv 7
    1 month ago

    arcsin(3/5)≈ 0.643501108...

    tan[π/2 + 2arcsin(3/5)]≈ -0.291666...

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