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!

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step-by-step explanation: