# Math

angle theta is in the standard position and 0'=<theta=<180'. If cos theta = -2/3, find the exact value of sin theta* tan theta.

1. 👍 0
2. 👎 0
3. 👁 195
1. You know that cosθ = x/r
In QII, x < 0 and y > 0, so we know

x = -2
r = 3
so, y = √5

Now you know that
sinθ = √5/3

and you now can easily figure sinθ * tanθ

1. 👍 0
2. 👎 0
posted by Steve
2. oh ok thanks a lot for your help :D

1. 👍 0
2. 👎 0
posted by Han

## Similar Questions

1. ### trig

If theta is the measure of an angle in standard position with the given conditions, find the quadrant(s) in which the terminal side of theta lies. a) cot theta < 0 b) cos theta > 0 , csc theta < 0

asked by Anonymous on January 26, 2012
2. ### Math

angle theta is in standard position on a co-ordinate grid. the terminal arm of theta is in quadrent 2 on the line that's equation is 3x-4y=0. Determine the sine of this angle and then the measure of angle theta.

asked by Rachel on May 1, 2016
3. ### Trig

The point (-5/12) is on the terminal side of an angle theta in standard position. Find Sin theta, cos theta and tan theta Thank You!

asked by Lauren on September 21, 2011
4. ### Pre-Calc

if (0,-7) lies on the terminal side of angle theta in standard position, find each value sec(theta) , cot(theta) and sin(theta)

asked by Purplechick4 on February 6, 2012
5. ### Pre-Calc/Math

if (0,-7) lies on the terminal side of angle theta in standard position, find each value sec(theta) , cot(theta) and sin(theta)

asked by Purplechick4 on February 7, 2012
1. ### trig

if (0,-7) lies on the terminal side of angle theta in standard position, find each value sec(theta) , cot(theta) and sin(theta)

asked by Laura on February 6, 2012
2. ### precal

Find the value of sec theta for angle theta in standard position if the point at (–2, –4) lies on its terminal side. If 0° lessthanorequalto x lessthanorequalto 360°, solve the equation sec x = –2. The terminal side of an

asked by hannah on November 17, 2010
3. ### trig

the terminal side of angle theta in standard position lies on the line that travels through point (9,1), find sin of theta, cos of theta, tan of theta. (give exact values)

asked by ardian gashi on May 1, 2011
4. ### math

theta is a first quadrant angle in standard position and cos theta = 1/(sqrt10) . Find the exact value of sin theta,