Larissa L.

asked • 01/23/18

Write the following in terms of sin(theta) only.

cot(theta)

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Arturo O. answered • 01/23/18

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Use the well-known trigonometric identity:
 
cos2θ + sin2θ = 1 ⇒
 
cosθ = √(1 - sin2θ)
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Arturo O.

I need to add one more step, since you want cotθ.
 
cotθ = cosθ / sinθ = √(1 - sin2θ) / sinθ
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01/23/18

Kenneth S.

the expression for cos theta ought to have ± preceding that square root symbol, in general.  other considerations will determine which sign applies.
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01/23/18

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