Question

Which of the following statement is true?sin(30°)=cos(150°)sin(30°)=sin(150°)tan(30°)=tan(150°)cos(30°)=cos(150°)

Answer 1

`\sin \mleft(30\degree\mright)=\sin \mleft(150\degree\mright)`

Step-by-step explanation:

Here, we want to get the true statement

From what we have, angle 30 degrees is a reference angle of angle 150 degrees

Mathematically, we know that sine is positive on the first quadrant (the quadrant where angle 30 belongs) and also positive on the second quadrant (where angle 150 degrees belongs). Thus, it is expected that the sine value for both will be equal in both quadrants since they aree reference angles

Thus, we can conclude that:

`\sin \mleft(30\degree\mright)=\sin \mleft(150\degree\mright)`