Trigonometric Equations:

Solve each of the equations for 0≤x≤2π. Isolate the variable, sketch a reference triangle, find all the solutions within the given domain, 0≤x≤2π. Remember to double the domain when solving for a double angle. Use trig identities to rewrite the trig functions.

sin x=-1/2

Question

Trigonometric Equations:


Solve each of the equations for 0≤x≤2π. Isolate the variable, sketch a reference triangle, find all the solutions within the given domain, 0≤x≤2π. Remember to double the domain when solving for a double angle. Use trig identities to rewrite the trig functions. 

sin x=-1/2

anonymous · Answer

@zepdrix HELP ME PLEASE

zepdrix · Answer

They want you to draw a triangle for this? 0_o

zepdrix · Answer

|dw:1408499155249:dw|I guess we could draw a triangle or two like this.
The sine function is negative in quadrants 3 and 4.
$$\Large\rm \sin x=\frac{opposite}{hypotenuse}=\frac{-1}{2}$$

zepdrix · Answer

|dw:1408499359669:dw|Use the Pythagorean Theorem to find this missing side.
I'm not sure how your teacher wants you to solve this.

You can either relate it back to either the 45/45/90 or 30/60/90 triangle.
Or you can use the inverse sine function.

anonymous · Answer

@zepdrix thanks for the help, i wasnt sure how to answer it either