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

please help

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- Anonymous9 years agoFavorite Answer
LHS = cot(θ)sec(θ)sin(θ)

= cos(θ)/sin(θ) * 1/cos(θ) * sin(θ)

= 1

= RHS

I hope this helps!

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- mikesellLv 43 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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- VVVVVLv 79 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

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