Find the general solution for:-

~Please show your work

~Thank you!

Step-by-step explanation:

we would like to solve the following trigonometric equation:

the left hand side can be rewritten using angle sum indentity of sin which is given by:

therefore Let

Thus substitute:

simplify addition:

keep in mind that sin(t)=sin(π-t) saying that there're two equation to solve:

take inverse trig and that yields:

add π to both sides of the second equation and that yields:

sin function has a period of 2nπ thus add the period:

divide I equation by 4 and II by -4 which yields:

recall that,-½(nπ)=½(nπ) therefore,

by using a calculator we acquire:

hence,

the general solution for: for the trig equation are

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.