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27 October, 19:20

Given tan theta = 4/3 and pi< theta< 3pi/2; find cos2theta

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  1. 27 October, 19:40
    0
    -7/25

    Step-by-step explanation:

    tan θ = 4/3, π < θ < 3π/2

    Using double angle formula:

    cos (2θ) = (1 - tan²θ) / (1 + tan²θ)

    cos (2θ) = (1 - (4/3) ²) / (1 + (4/3) ²)

    cos (2θ) = (1 - 16/9) / (1 + 16/9)

    cos (2θ) = (9 - 16) / (9 + 16)

    cos (2θ) = - 7 / 25
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