The point (-4,10) is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?

Chelsea Mcknight

Chelsea Mcknight

Answered question

2023-03-20

The point (-4,10) is on the terminal side of an angle in standard position, how do you determine the exact values of the six trigonometric functions of the angle?

Answer & Explanation

Lomthixr8m

Lomthixr8m

Beginner2023-03-21Added 4 answers

r = x 2 + y 2
r = ( - 4 ) 2 + 10 2
r = 116 = 2 29
sin ( θ ) = y r
sin ( θ ) = 10 2 29
sin ( θ ) = 5 29 29
csc ( θ ) = 1 sin ( θ ) = 29 5
cos ( θ ) = x r
cos ( θ ) = - 4 2 29
cos ( θ ) = - 2 29 29
sec ( θ ) = 1 cos ( θ ) = - 29 2
tan ( θ ) = y x
tan ( θ ) = 10 - 4
tan ( θ ) = - 2.5
cot ( θ ) = 1 tan ( θ ) = - 2 5

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