Question

Determine the exact values of the six trigonometric functions of the angle A in a right triangle with a = 2 and c = 11?

Answer 1

`SinA=2/11`
`CosA=(3sqrt(13))/11`
`TanA=(6sqrt(13))/117`
`CscA=11/2`
`SecA=(33sqrt(13))/117`
`CotA=(3sqrt(13))/2`

Explanation:

Trigonometric Ratios
Sin= Opposite/Hypotenuse
Cos= Adjacent/Hypotenuse
Tan= Opposite/Adjacent
Csc= 1/sin
Sec=1/cos
Cot= 1/tan

The side A has to be opposite to angle A when you solve these ratios, and rationalize as needed. I assumed the C was your hypotenuse. I used Pythagorean theorem to solve for side B, `B=sqrt(C^2-A^2)`