Express each of the following in terms of a reference angle. Explain, please. 1a. sin 45º 1b. 135º 1c. sin 225º 1d. sin 315º 3a. cos 224.5º 3b. cos 658º 3c. 145.7º 3d. sin (-201º)

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Express each of the following in terms of a reference angle. Explain, please. 1a. sin 45º 1b. 135º 1c. sin 225º 1d. sin 315º 3a. cos 224.5º 3b. cos 658º 3c. 145.7º 3d. sin (-201º)

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what is reference angle for you?
I'm not really sure... I think that's the problem.
The reference angle is the angle the terminal side of the angle makes with the x axis.

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But you have to be careful about your signs. For example the sin225=-sin45 because the sin (which is like y) is positive in the first quadrant but negative in the 3rd and 4th quadrants.
sin135=sin45 since sin is positive in quadrants 1 and 2
All-Sine-Tan-Cos
and in simple terms the reference angle is the acute version of the angle.
So, for instance, number 1a, I'd just find the sine of 45º because the reference angle of 45 º is 45º, right? And for number 1b, 135º's reference angle is 45º degrees as well, so i'd find the sine of 45º... I guess I still don't fully understand how to know whether its positive or negative. In the pictures, would it be positive or negative based on where the degree of a circle ended? Sorry if I'm a little slow! I'm only in eighth grade, but i'm taking classes at the university:/

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