Anonymous
Anonymous asked in Science & MathematicsMathematics · 9 years ago

Prove the trig identity: cot(theta)sec(theta)sin(theta) = 1?

please help

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  • Anonymous
    9 years ago
    Favorite Answer

    LHS = cot(θ)sec(θ)sin(θ)

    = cos(θ)/sin(θ) * 1/cos(θ) * sin(θ)

    = 1

    = RHS

    I hope this helps!

    Source(s): Knowledge
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  • 3 years ago

    a million+tan^2 (x) = sec^2 (x) write tan in terms of sin/cos and set undemanding denominator cos^2 x/cos^2 x + sin^2 x/cos^2 x = sec^2 x upload fractions (cos^2 x+ sin^2 x)/cos^2 x = sec^2 x use sin^2 + cos ^2 identity a million/cos^2 x = sec^2 x definition of sec sec^2 x = sec^2 x

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  • VVVVV
    Lv 7
    9 years ago

    cotθsecθsinθ=1

    Quotient Identities:

    (cosθ/sinθ)(1/cosθ)(sinθ/1)=1

    Multiply the cotangent and secant's identities to find:

    (cosθ/sinθ)(1/cosθ)=1/sinθ

    Now multiply sine's identity by the product to cancel out the sines.

    (1/sinθ)(sinθ/1)=1

    1=1

    Source(s): Establishing Identities.
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