Posted by **noel** on Monday, June 11, 2012 at 12:10am.

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

2. feta is a second quadrant angle in standard position and tan(feta) -((sqrt5)/2) = . Find the exact value of cos(feta) .

3. θ is an angle in standard position with domain 0° <θ< 360° and cot θ -(24/7)= . Find all possible values of θ (accurate to 0.1° if necessary)

- Math (please help!) -
**noel**, Monday, June 11, 2012 at 12:53am
feta = β

- Math (please help!) -
**Steve**, Monday, June 11, 2012 at 11:37am
1. draw a diagram. Legs are 1 and 3, hypotenuse is √10. If cosθ = 1/√10, sinθ = 3/√10

2. legs are √5 and 2, hypotenuse = 3. If tanθ = √5/2, cosθ = 2/3. In QII, cosθ = -2/3

3. legs are 7,24, hypotenuse =25

if cotθ < 0, θ is QII or QIV.

Arccot(24/7) = 16.26°, so

θ = 163.74° or 343.74°

## Answer This Question

## Related Questions

- math - theta is a first quadrant angle in standard position and cos theta = 1/(...
- Math - An angle θ, in standard position, has its terminal side in Quadrant ...
- Algebra 2 - Can someone help me figure these out? I think if someone can explain...
- Algebra 2 - Can someone help me figure these out? I think if someone can explain...
- Math/Trigonometry - Find the exact value of cosθ if sinθ=-2/3, and &#...
- math trigono - 1. If tanθ = –√3 , what is the value of cot ? 2. ...
- Math!!! - angle x is in the second quadrant and angel y is in the first quadrant...
- Math - The given angle is in standard position. Determine the quadrant in which ...
- math - Another: theta is a second quadrant angle in standard position and tan ...
- Math - Angle x is in the second quadrant and angle y is in the first quadrant ...

More Related Questions