Question

sin 3 pi/4*cos pi/4+cos 3 pi/4*sin pi/4

Answer 1

$\frac{ \sqrt{2} }{2} * \frac{ \sqrt{2} }{2} + \frac{ \sqrt{2} }{2} * \frac{ \sqrt{2} }{2} = \frac{1}{2} +\frac{1}{2} =1$

Answer 2

To evaluate the expression sin(3π/4) * cos(π/4) + cos(3π/4) * sin(π/4) in detail, we can break it down into smaller steps.

Step 1: Find the values of sin(3π/4) and cos(3π/4). The angle 3π/4 is in the second quadrant on the unit circle, where the sine is positive and the cosine is negative. Therefore, sin(3π/4) is equal to √2/2 and cos(3π/4) is equal to -√2/2.

Step 2: Find the values of sin(π/4) and cos(π/4). The