# Math - Trigonometry

For how many values of theta such that 0<theta<360 do we have cos theta = 0.1? (Note that theta is a measure in radians, not degrees!)

I'm kinda confused with the problem? Could someone help me? I'm thinking unit circle, so cos is the x coordinate. It would be easy if theta = degrees, but it is radians, so I'm confused?
IF it were degrees, it would be 2 right.

1. 👍
2. 👎
3. 👁
1. degrees or radians or grads, it's still 2. What you call the angle does not matter.

If you plan to succeed in trig, get used to thinking in radians. Once you get past the introductory material, most problems will deal with radians.

1. 👍
2. 👎
However, this problem is for an online class, and 2 does not seem to be the answer. Hmm...why?

1. 👍
2. 👎
3. cos x is positive in QI,QIV.
There's only one angle in each quadrant where cos x = 0.1

1. 👍
2. 👎
4. Wait, is cos x the y coordinate or the x coordinate?

1. 👍
2. 👎
5. doesn't matter. All of the trig functions are positive in exactly 2 of the 4 quadrants.

1. 👍
2. 👎
6. Well think about it. The period of cos(x) is 2pi, 114pi = 358.14, so cos(x) repeats 114/2 = 57 times. So the answer is 57*2 = 144, but since cosine is split over y axis on the first period (calculatorsoup dot com/images/trig_plots/graph_cos_pi.gif)
we add 1 to 144, and get 145.

1. 👍
2. 👎

## Similar Questions

1. ### Math

1. Let (-7, 4) be a point on the terminal side of (theta). Find the exact values of sin(theta), csc(theta), and cot(theta). 2. Let (theta) be an angle in quadrant IV such that sin(theta)=-2/5. Find the exact values of sec(theta)

2. ### Pre-Calculus

Use a calculator to approximate two values of theta (0

3. ### Math

Let (7,-3) be a point on the terminal side of theta. Find the exact values of sin of theta, csc of theta and cot of theta?

4. ### trig

If sin theta is equal to 5/13 and theta is an angle in quadrant II find the value of cos theta, sec theta, tan theta, csc theta, cot theta.

1. ### math

Let theta be an angle in quadrant IV such that sin(theta)=-(2)/(5). Find the exact values of sec(theta) and tan(theta).

2. ### Trigonometry

Let (7,-3) be a point on the terminal side of theta. Find the exact values of cos of theta, sec of theta and cot of theta?

3. ### trig

Given csc theta= 4, cot theta < 0 Find the exact values of cos theta and tan theta

4. ### Math Trig

Let theta be an angle in quad III such that sec theta = -13/5. Find the exact values of cot theta and sin theta? Thank you!!!

1. ### trig

Find the exact values of the other trig functions of theta given sec theta=7 and sin theta is less than 0.

2. ### Math

Given angle theta is bigger than 0 and smaller than 360, determine two possible values of theta where each ration would be true. a) cos theta= 0.6951 b)sin theta= -0.7571

3. ### trig

what are the values of theta in the interval 0 degrees is lessthan or equal to theta is less than or equal to 360 degrees that satisfy the equation tan theta minus square root of 3 equals 0?

4. ### trig

Let be an angle in quadrant II such that sec(theta) -4/3 . Find the exact values of cot (theta) and sin (theta).