Question

Which trigonometric expression has a negative? value? Pls help fast!!!

Answer 1

Answer:

B. sin(5pi/4)= -(sqr2/2)

Step-by-step explanation:

This is because its in the 3rd quadrant, meaning the coordinates will be ( - , - ).

Also if you want to think of it like this,

since pi/1 is equal to 180 degrees on the Unit Circle, you can consider 4 as 180 degrees, like this, 180/4=45, from this we can tell that "1" is equal to 45 degrees on the unit circle in this case. From this can we derive that 5 is 225 degrees around the Unit Circle, thus landing in the 3rd Quadrant.

*Use the attachment for reference.

Answer 2

The trigonometric expression sin 5π/4 has a negative value.

When does sin have a negative value?

A sin value is negative when it is in the third and fourth quadrants.

We can determine the negative value from the given options:

In the case of, sin 2π/5. It is found in the first quadrant, hence it is positive.

In the case of, sin 5π/4. It is found in the third quadrant, hence it is negative.

In the case of, sin 2π/3. It is found in the first quadrant, hence it is positive.

In the case of, sin 5π/6. It is found in the second quadrant, hence it is positive.

Therefore, we have found the trigonometric expression sin 5π/4 has a negative value. The correct answer is option B.

Learn more about quadrants here: https://brainly.com/question/25038683

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