What is (cot(θ))/(csc(θ)-sin(θ)) ?

The solution to (cot(θ))/(csc(θ)-sin(θ)) is sec(θ)

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simplify (cot(θ))/(csc(θ)-sin(θ))

simplify

\frac{cot ( θ )}{csc ( θ ) - sin ( θ )}

sec (θ)

Solution steps

\frac{cot ( θ )}{csc ( θ ) - sin ( θ )}

Simplify

csc (θ) - sin (θ) : cos (θ) cot (θ)

= \frac{cot ( θ )}{cos ( θ ) cot ( θ )}

Cancel the common factor:

cot (θ)

= \frac{1}{cos ( θ )}

Use the basic trigonometric identity:

\frac{1}{cos ( x )} = sec (x)

= sec (θ)

2024

\frac{8 24}{2 48}

7 - (\frac{2110}{( 124 - 23 )})^{2} - 6 (1 - 19 - 33)

2 x (x^{2} + 1)

sec (θ) - cos (θ)

What is (cot(θ))/(csc(θ)-sin(θ)) ?
The solution to (cot(θ))/(csc(θ)-sin(θ)) is sec(θ)