Question

When is SEC theta greater than or equal to COS theta?

When is CSC theta greater than or equal to SIN theta?

When is TAN theta greater than or equal to COT theta?

When is SEC theta greater than or equal to CSC theta?

Answer 1

Use graphing technology to graph each pair of functions from 0 to 2pi.
Then look for which interval each desired function is greater than or equal to the other function.

Answer 2

I have no idea how to do that..

Answer 3

Oh wait hold on i think i know

Answer 4

Would the answer for the first one be 0 degrees, 180 degrees, and 360 degrees?

Answer 5

Let's look at the cosine and the secant in choice A.
The cosine function has a range of -1 to 1.
The secant is the reciprocal of the cosine.
That means when the cosine is from -1 to 0 (not including -1 or 0), the reciprocal will be less than the cosine.
When the cosine is from 0 to 1 (not including 0 or 1), then the reciprocal will be greater than the cosine.

Answer 6

The answers will be intervals, not single angles.