Question

Find the six trigonometric function values of the specified angle.

***
19
sin =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
cos =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
tan =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
csc =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
sec =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
cot =
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

Answer 1

The six trigonometric function values are sin(θ) = 180/181, cos(θ) = 19/181, tan(θ) = 180/19, csc(θ) = 181/180, sec(θ) = 181/19 and cot(θ) = 19/180

How to determine the six trigonometric function values

From the question, we have the following parameters that can be used in our computation:

The triangle

The sine of the angle is calculated as

sin(θ) = Opposite/Hypotenuse

So, we have

sin(θ) = 180/181

The cosine of the angle is calculated as

cos(θ) = Adjacent/Hypotenuse

So, we have

cos(θ) = 19/181

The tangent of the angle is calculated as

tan(θ) = Opposite/Adjacent

So, we have

tan(θ) = 180/19

The cosec of the angle is calculated as

csc(θ) = 1/sin(θ)

So, we have

csc(θ) = 181/180

The secant of the angle is calculated as

sec(θ) = 1/cos(θ)

So, we have

sec(θ) = 181/19

The cotangent of the angle is calculated as

cot(θ) = tan(θ)

So, we have

cot(θ) = 19/180

Hence, the six trigonometric function values are sin(θ) = 180/181, cos(θ) = 19/181, tan(θ) = 180/19, csc(θ) = 181/180, sec(θ) = 181/19 and cot(θ) = 19/180

Question

Find the six trigonometric function values of the specified angle.