# Find the Exact Value cot(arcsin(4/5))

Find the Exact Value cot(arcsin(4/5))
Draw a triangle in the plane with vertices , , and the origin. Then is the angle between the positive x-axis and the ray beginning at the origin and passing through . Therefore, is .
Multiply the numerator by the reciprocal of the denominator.
One to any power is one.
Apply the product rule to .
Raise to the power of .
Raise to the power of .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Subtract from .
Rewrite as .
Simplify the numerator.
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Simplify the denominator.
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Simplify terms.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Combine and .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
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### Name

Name seven hundred thirteen million five hundred ninety-five thousand three hundred fifty-three

### Interesting facts

• 713595353 has 4 divisors, whose sum is 716658228
• The reverse of 713595353 is 353595317
• Previous prime number is 233

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 41
• Digital Root 5

### Name

Name one billion nine hundred forty-seven million seventy-three thousand six hundred sixty-seven

### Interesting facts

• 1947073667 has 16 divisors, whose sum is 2428545024
• The reverse of 1947073667 is 7663707491
• Previous prime number is 3551

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 50
• Digital Root 5

### Name

Name one billion nine hundred three million three hundred seventy-three thousand sixty-four

### Interesting facts

• 1903373064 has 64 divisors, whose sum is 7175070720
• The reverse of 1903373064 is 4603733091
• Previous prime number is 191

### Basic properties

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