# Math

We can find the solutions of
sin x = 0.6
algebraically. (Round your answers to two decimal places.)

(a) First we find the solutions in the interval
[0, 2π).
We get one such solution by taking
sin−1
to get
x = ________
(smaller value).

The other solution in this interval is
x =
(larger value).

(b) We find all solutions by adding multiples of
to the solutions in
[0, 2π).
The solutions are
x =
.
(Enter your answers in the form θ + 2πk, 0 ≤ θ < 2π. Enter your answers as a comma-separated list.)

1. 👍 0
2. 👎 0
3. 👁 292
1. 0.64, 2.50 (π-0.64)

I'm not sure what is meant by part (b), but in the given domain, the only two answers are 0.64 and 2.50 (2 decimal places)

1. 👍 0
2. 👎 0
posted by Chloe

## Similar Questions

1. ### Calculus

We can find some of the solutions of sin x = 0.2 graphically by graphing y = sin x and y = 0.2 (I was able to figure this one out) Use the graph below to estimate some of the solutions. (Let −3π < x < 3π.) Enter your answers

asked by Angela on April 14, 2015
2. ### Trigonometry

Find all solutions between 0 and 2pi. Round to two decimal places. In radians. Find all solutions between 0 and 2 pi. Round to two decimal places for the final solutions. The answers should be in radian mode. If you can use exact

asked by Taylor B on May 13, 2013
3. ### Trig Equation

Solve for x (exact solutions): sin x - sin 3x + sin 5x = 0 -¦Ð ¡Ü x ¡Ü 0 ------ Now, using my graphics calculator, I discovered that the following equation has 5 solutions. I have managed to come up with 3 of them but I'm

asked by sqleung on March 1, 2008
4. ### Trigonometry

Find all solutions of the equation in the interval [0,2pi] algebraically. sin^2x + cosx + 1 = 0

asked by Lindsey on January 17, 2012
5. ### Trigonometry

Use inverse trigonometric functions to find the solutions of the equation that are in the given interval, and approximate the solutions to four decimal places. (Enter your answers as a comma-separated list.) 10 sin^2 x = 3 sin x +

asked by Katlynn on March 6, 2013
6. ### Trigonometry

Use inverse trigonometric functions to find the solutions of the equation that are in the given interval, and approximate the solutions to four decimal places. (Enter your answers as a comma-separated list.) 10 sin^2 x = 3 sin x +

asked by Katlynn on March 6, 2013
7. ### Trigonometry

Use inverse trigonometric functions to find the solutions of the equation that are in the given interval, and approximate the solutions to four decimal places. (Enter your answers as a comma-separated list.) 10 sin^2 x = 3 sin x +

asked by Katlynn on March 6, 2013
8. ### maths

Use a graphing utility to approximate the solutions of the equation in the interval [0, 2Ï€). (Round your answers to three decimal places. Enter your answers as a comma-separated list.) 6 sin(x) + 3 cos(x) = 0

asked by jass on February 9, 2017
9. ### solving trig. equations

tan(3x) + 1 = sec(3x) Thanks, pretend 3x equals x so tanx + 1 = secx we know the law that 1 + tanx = secx so tanx + 1 becomes secx and... secx = secx sec(3x) = sec(3x) [just put 3x back in for x- you don't really have to change 3x

asked by Jen on April 12, 2007
10. ### Trigonometry

Solve the equation for solutions in the interval 0

asked by Renee on March 7, 2016

More Similar Questions