Find the exact values of the six trigonometric functions of the angle. 1395°
sin 1395°
cos 1395°
tan 1395°

Step-by-step explanation:

First, instead of doing 1395, let's find its coterminal angles. We can do so by subtracting 360 until we reach a solvable range. So:

This is still too high, continue to subtract:

So, instead of 1395, we can use just -45.

So, evaluate each trig function for -45:

1)

Remember that we can move the negative inside of the sine outside. So:

Remember the sine of 45 from the unit circle:

2)

Remember that we can ignore the negative inside of a cosine function. So:

Evaluate using the unit circle:

Now, remember that tangent is sine over cosine. So: "

We already know them. Substitute:

Simplify:

And we're done!

The 20 books will fit without problems on the shelf.

Step-by-step explanation:

Given that a maths textbook is 1/2 inches thick and the shelf in the maths classroom is 34 '1/2 inches long, to determine if a set of 20 books will fit on the shelf, the following calculation must be performed:

1/2 = 0.5

34 1/2 = 34.5

34.5 - (20 x 0.5) = X

34.5 - 10 = X

24.5 = X

Thus, it is shown that the 20 books will fit without problems on the shelf.