Question

Type the correct answer in each box.

If cos -105º = -0.26 and csc -105º = -1.03, then cos 105º =
and csc 105º =
.

Answer 1

To find the values of cos 105º and csc 105º, we can use the properties of trigonometric functions and the given values of cos -105º and csc -105º.

Since -105º is in the third quadrant, where cosine is negative and cosecant is negative, we can use the following relationships:

cos 105º = - cos (-105º)

csc 105º = - csc (-105º)

Using the given values:

cos 105º = - cos (-105º) = -(-0.26) = 0.26

csc 105º = - csc (-105º) = -(-1.03) = 1.03

Therefore, cos 105º = 0.26 and csc 105º = 1.03.

Explanation: