Posted by **Victoria** on Sunday, March 6, 2011 at 12:13pm.

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 -
**Henry**, Sunday, March 6, 2011 at 8:49pm
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.

## Answer this Question

## Related Questions

- Trig - The point (-5/12) is on the terminal side of an angle theta in standard ...
- trig - if (0,-7) lies on the terminal side of angle theta in standard position, ...
- trig - the terminal side of angle theta in standard position lies on the line ...
- Pre-Calc - if (0,-7) lies on the terminal side of angle theta in standard ...
- Pre-Calc/Math - if (0,-7) lies on the terminal side of angle theta in standard ...
- trig - Suppose that the point P(13,-30) is on the terminal side of the angle ...
- trig - If point G(a,b) lies on the terminal side of angle theta in standard ...
- trig - if P(-4,1) is a point on the terminal side of angle (theta), in standard ...
- MATH ANALYSIS - If (96,2) is a point on the terminal side of an angle THETA in ...
- trig - Find the value of secant theta for angle theta in standard position if a ...

More Related Questions