Expand Using Sum/Difference Formulas csc(pi/2-theta)

$\csc (\frac{π}{2} - θ)$

Replace $\csc (\frac{π}{2} - θ)$ with an equivalent expression $\frac{1}{\sin (\frac{π}{2} - θ)}$ using the fundamental identities.

$\frac{1}{\sin (\frac{π}{2} - θ)}$

Use a sum or difference formula on the denominator.

Tap for more steps...

Use the difference formula for sine to simplify the expression. The formula states that $\sin (A - B) = \sin (A) \cos (B) - \cos (A) \sin (B)$ .

$\frac{1}{\sin (\frac{π}{2}) \cos (θ) - \cos (\frac{π}{2}) \sin (θ)}$

Remove parentheses.

$\frac{1}{\sin (\frac{π}{2}) \cos (θ) - \cos (\frac{π}{2}) \sin (θ)}$

Simplify each term.

Tap for more steps...

The exact value of $\sin (\frac{π}{2})$ is $1$ .

$\frac{1}{1 \cos (θ) - \cos (\frac{π}{2}) \sin (θ)}$

Multiply $\cos (θ)$ by $1$ .

$\frac{1}{\cos (θ) - \cos (\frac{π}{2}) \sin (θ)}$

The exact value of $\cos (\frac{π}{2})$ is $0$ .

$\frac{1}{\cos (θ) + 0 \sin (θ)}$

Multiply $- 1$ by $0$ .

$\frac{1}{\cos (θ) + 0 \sin (θ)}$

Multiply $0$ by $\sin (θ)$ .

$\frac{1}{\cos (θ) + 0}$

Add $\cos (θ)$ and $0$ .

$\frac{1}{\cos (θ)}$

Convert from $\frac{1}{\cos (θ)}$ to $\sec (θ)$ .

$\sec (θ)$

Do you know how to Expand Using Sum/Difference Formulas csc(pi/2-theta)? 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.

Factor f(x)=3x^3-16x^2-103x+36

Evaluate arcsin(cos(pi/3))

Add sin(20)cos(80)+cos(20)sin(80)

Simplify cos(arcsin(5/13))

Find the Exact Value cos(-8.53)