Find the exact value of: csc^2(17pi/4) How do I do problems with the sin, cos, tan...etc raised to the power of 2?

2 Answers
Mar 20, 2015

I would try to simplify your angle.
174π is big so I can reduce it (see point 1 and 2 in the diagram below)) to the equivalent π4 (certainly fiendlier than the other!) and get:
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Mar 20, 2015

Keep in mind that when we write a trig function to a (positive) power, we mean evaluate the trig function, then raise the value to the power.

sin2(π6)=(sin(π6))2=(12)2=14

So, to find csc2(17π4) Find (csc(17π4))2 .

That is: find csc(17π4) . and then square that number.

Note:
This convention does not include trig1.

We use the 1 in the upper right to indicate the inverse function (the opposite function).
Example:
sin(π6)=12.

So, sin1(12)=π6.