What is the Evaluate the 6 functions of 3 pi over 4?

Answer 1

To evaluate the six trigonometric functions of ( \frac{3\pi}{4} ), first note that ( \frac{3\pi}{4} ) is located in the second quadrant. The reference angle is ( \frac{\pi}{4} ). The values are:

• ( \sin\left(\frac{3\pi}{4}\right) = \frac{\sqrt{2}}{2} )
• ( \cos\left(\frac{3\pi}{4}\right) = -\frac{\sqrt{2}}{2} )
• ( \tan\left(\frac{3\pi}{4}\right) = -1 )
• ( \csc\left(\frac{3\pi}{4}\right) = \frac{\sqrt{2}}{2} ) (reciprocal of sine)
• ( \sec\left(\frac{3\pi}{4}\right) = -\frac{\sqrt{2}}{2} ) (reciprocal of cosine)
• ( \cot\left(\frac{3\pi}{4}\right) = -1 ) (reciprocal of tangent)