# PreCalc

Approximate the solutions to the following equation on the interval [0,2π). Round your answer to four decimal places.
sinθ=0.65

Apparently, there suppose to be two answers to this question with a comma separating​ both answers. I know because I've failed it and I'm on my 2nd attempt. I literally do not know what this question is and how to go about finding the solution. I don't know where to start. Can someone please show a step-by-step solution. I have 10 more of this sort of questions to solve, so a step-by-step solution would be nice. ​THANKS.

1. 👍
2. 👎
3. 👁
1. you want the sin⁻¹ function on your calculator

sin⁻¹(0.65) = Θ = .7076 , 2.4340

1. 👍
2. 👎
2. THANK YOU Scott. I did the reverse sin to get .7076 in my calculator. How did you get 2.4340? Sorry if this question should be obvious to me.

1. 👍
2. 👎
3. 2.4340 = π - .7076

sin(x) is positive in QI and QII

1. 👍
2. 👎

## Similar Questions

1. ### calculus

The function f is continuous on the closed interval [0,2] and has values that are given in the table below x = 0| 1 | 2 ____________ f(x) = 1| k | 2 The equation f(x) = 1/2 must have at least two solutions in the interval [0,2] if

2. ### Math

An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) Find the solutions in the interval:

3. ### Algebra (need help quick)

17. solve the equation using the zero-product property. 6x(3x+1)=0 A.x=0,1/3 B.0,1 C.0,-1/3 D.0,-1 18.Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth. 6x(3x+1)=0 A.x=0,1/3 B.x=0,1

4. ### Trigonometry

Find all solutions of the equation in the interval [0,2pi). sec(theta)+2=0 Write your answer in radians in terms of pi

1. ### Calculus

The function f is continuous on the closed interval [-5,5], and f(-2) = 6, f(1) = -3, and f(4) = 6. Which of the following statements must be true? A. The equation f(x) = 0 has at least two solutions on the closed interval [-5,5].

2. ### 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

3. ### Pre-Cal

An equation is given. (Enter your answers as a comma-separated list. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) 2 cos 2θ − 1 = 0 a). Find all solutions of the equations

4. ### Trigonometry

Solve the equation. (Find all solutions of the equation in the interval [0, 2π). Enter your answers as a comma-separated list.) 4 tan(2x) − 4 cot(x) = 0

1. ### Trig

Find all solutions of the equation in the interval [0,2pi). 2sin theta+1=0. Write answer in radians in terms of pi.

2. ### math

Find all solutions to the equation tan(t)=1/tan (t) in the interval 0

3. ### 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

4. ### math

Solve the equation by completing the square. If the solutions are real, give exact and approximate answers. Otherwise, list the exact solutions. 7x^2-4x+1=2x^2-7x+3 Please help!!!!! :(