How do you find the exact value fo sin (cos^-1 (-1/4))

kjukks1234531

kjukks1234531

Answered question

2022-09-17

How do you find the exact value for sin ( cos 1 ( 1 4 ) )?

Answer & Explanation

Zackary Galloway

Zackary Galloway

Beginner2022-09-18Added 17 answers

cos 1 ( 1 4 ) is a t in [ 0 , π ] with cos t = 1 4
Since t is in quadrant 1 or 2, sin t is positive.
The problem becomes: cos t = 1 4 and sin t > 0. Find sin t.
Either draw a picture of t on the coordinate system,
or draw a right triangle with acute angle t, adjacent side 1 and hypotenuse 4
or use sin 2 t + cos 2 = 1 to get
sin t = 15 4

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College Statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?