# trig

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if theta is an angle in standard position and B(-3,4) is a point on the terminal side of the angle, what is the value of sin theta?

• trig -

B(-3,4), Q2.

r^2 = (-3)^2 + 4^2 = 25,
r = 5.

sinAr = Y/r= 4 / 5 = 0.8,
Ar = 53.1deg = reference angle.

sinAr = Y/r = 4 / 5 = 0.80,

Since the angle is in Q2,the angle
calculated is actually the ref angle
which has the same trig ratios as the
actual angle. The actual angle is:
A = 180 - Ar = 180 - 53.1 = 126.9deg.
sin126.9 = 0.8 = sin53.1.

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