# Find the Exact Value cot(arcsin(3/5))

Find the Exact Value cot(arcsin(3/5))
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 .
Write as a fraction with a common denominator.
Combine the numerators over the common denominator.
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:
Mixed Number Form:
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### Name

Name three hundred sixty-five million nine hundred fifty-one thousand one hundred fifteen

### Interesting facts

• 365951115 has 64 divisors, whose sum is 641024000
• The reverse of 365951115 is 511159563
• Previous prime number is 19

### Basic properties

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

### Name

Name nine hundred seventy-seven million four hundred thirty-nine thousand three hundred seventy

### Interesting facts

• 977439370 has 8 divisors, whose sum is 1759390884
• The reverse of 977439370 is 073934779
• Previous prime number is 5

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 49
• Digital Root 4

### Name

Name one billion one hundred sixty-eight million eight hundred two thousand nine hundred sixty-eight

### Interesting facts

• 1168802968 has 32 divisors, whose sum is 3945544344
• The reverse of 1168802968 is 8692088611
• Previous prime number is 25073

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 49
• Digital Root 4