Question

To help solve the trigonometric inequality 2sin(x)=>-1, which two equations can be graphed?

A. y=sin(x) and y=-1
B. y=sin(x) and y=-1/2
C. y=sin(x) and y=1/2
D. y=sin(x) and y=1

Answer 1

Answer: B

y=sin(x) and y=-1/2

Explanation:

Answer 2

B. y=sin(x) and y=-1/2

Explanation:

We have been given the following trigonometric inequality;

2sin(x)=>-1

The above inequality can be re-written as;

sin(x)=>-1/2

after dividing both sides by 2.

We can then formulate two separate equations, one containing the expression on the right hand side and the other containing the expression on the left hand side;

From the left hand side we form the following equation;

y = sin(x)

From the right hand side we form the following equation;

y = -1/2

Therefore, the above two equations can be graphed to help solve the given trigonometric inequality