Expand Using Sum/Difference Formulas csc(90-theta)

$\csc (90 - θ)$

Replace $\csc (90 - θ)$ with an equivalent expression $\frac{1}{\sin (90 - θ)}$ using the fundamental identities.

$\frac{1}{\sin (90 - θ)}$

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 $\sin (A - B) = \sin (A) \cos (B) - \cos (A) \sin (B)$ .

$\frac{1}{\sin (90) \cos (θ) - \cos (90) \sin (θ)}$

Remove parentheses.

$\frac{1}{\sin (90) \cos (θ) - \cos (90) \sin (θ)}$

Simplify each term.

Tap for more steps...

The exact value of $\sin (90)$ is $1$ .

$\frac{1}{1 \cos (θ) - \cos (90) \sin (θ)}$

Multiply $\cos (θ)$ by $1$ .

$\frac{1}{\cos (θ) - \cos (90) \sin (θ)}$

The exact value of $\cos (90)$ 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(90-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.

Name

Name	one billion four hundred fifty-three million four hundred six thousand two hundred eighty-three

Interesting facts

1453406283 has 8 divisors, whose sum is 1481534208
The reverse of 1453406283 is 3826043541
Previous prime number is 293

Basic properties

Is Prime? no
Number parity odd
Number length 10
Sum of Digits 36
Digital Root 9

Name

Name	three hundred fifty-eight million two hundred twelve thousand six hundred forty-two

Interesting facts

358212642 has 16 divisors, whose sum is 719282592
The reverse of 358212642 is 246212853
Previous prime number is 251

Basic properties

Is Prime? no
Number parity even
Number length 9
Sum of Digits 33
Digital Root 6

Name

Name	one hundred eighty-one million four hundred seventy thousand eight hundred seventy-three

Interesting facts

181470873 has 4 divisors, whose sum is 241961168
The reverse of 181470873 is 378074181
Previous prime number is 3

Basic properties

Is Prime? no
Number parity odd
Number length 9
Sum of Digits 39
Digital Root 3

Simplify square root of 125t^16

Find the Exact Value sec(arcsin(-1/2))

Solve for x 10cos(x)^2+5cos(x)-5=0

Simplify (a^2-100)/(3a)*(a^2)/(2a-20)

Simplify arcsec((2 square root of 3)/3)