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Simple trig question help please!?

explain why sin^2x is an even function

solve sinθ= -0.9063 for 0 ≤ θ ≤ 2π

find all solutions to tanθ = -√3

thanks guys!

1 Answer

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  • 10 years ago
    Favorite Answer

    Because sin^2(-x) = {sin (-x)}^2 = (-sin x) sin^2 x= sin^2(+x) sin^(x) is even function.

    sinθ= -0.9063 or θ = - 65 or 360 -65 = 295 and 180+65 = 245

    Finally θ = 245or 295

    tan theta = -√3 or theta = (2π/3) or general solution is

    (2π/3)+/-nπ

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