anonymous
  • anonymous
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)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
what is reference angle for you?
anonymous
  • anonymous
I'm not really sure... I think that's the problem.
Mertsj
  • Mertsj
The reference angle is the angle the terminal side of the angle makes with the x axis.

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Mertsj
  • Mertsj
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Mertsj
  • Mertsj
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Mertsj
  • Mertsj
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Mertsj
  • Mertsj
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.
Mertsj
  • Mertsj
sin135=sin45 since sin is positive in quadrants 1 and 2
anonymous
  • anonymous
All-Sine-Tan-Cos
anonymous
  • anonymous
and in simple terms the reference angle is the acute version of the angle.
anonymous
  • anonymous
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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