Verify the Identity cos(theta)csc(theta)tan(theta)=1

Solve Math

Trigonometry

Verify the Identity cos(theta)*csc(theta)*tan(theta)=1

$\cos (θ) \cdot \csc (θ) \cdot \tan (θ) = 1$

Start on the left side.

$\cos (θ) \cdot \csc (θ) \cdot \tan (θ)$

Convert to sines and cosines.

Tap for more steps...

Apply the reciprocal identity to $\csc (θ)$ .

$\cos (θ) \cdot \frac{1}{\sin (θ)} \cdot \tan (θ)$

Write $\tan (θ)$ in sines and cosines using the quotient identity.

$\cos (θ) \cdot \frac{1}{\sin (θ)} \cdot \frac{\sin (θ)}{\cos (θ)}$

Simplify.

Tap for more steps...

Cancel the common factor of $\cos (θ)$ .

Tap for more steps...

Factor $\cos (θ)$ out of $\cos (θ) \cdot \frac{1}{\sin (θ)}$ .

$\cos (θ) (\frac{1}{\sin (θ)}) \cdot \frac{\sin (θ)}{\cos (θ)}$

Cancel the common factor.

$\cos (θ) \frac{1}{\sin (θ)} \cdot \frac{\sin (θ)}{\cos (θ)}$

Rewrite the expression.

$\frac{1}{\sin (θ)} \cdot \sin (θ)$

Combine $\frac{1}{\sin (θ)}$ and $\sin (θ)$ .

$\frac{\sin (θ)}{\sin (θ)}$

Cancel the common factor of $\sin (θ)$ .

Tap for more steps...

Cancel the common factor.

$\frac{\sin (θ)}{\sin (θ)}$

Rewrite the expression.

$1$

Because the two sides have been shown to be equivalent, the equation is an identity.

$\cos (θ) \cdot \csc (θ) \cdot \tan (θ) = 1$ is an identity

Do you know how to Verify the Identity cos(theta)*csc(theta)*tan(theta)=1? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Simplify sin(169)

Find the Inverse csc(1.3332)

Evaluate 4.5*(4.5 square root of 3)

Find the Supplement pi/7

Graph 4/3*cos(pi/2-4x)+1