What is the exact value of this?

Correct  second quadrant  angle is 3π/4

                            fourth answer  (2√2 + π) / 4

                            third quadrant angle is 5π/4

                            first answer  (-2√2 + π) / 4

Step-by-step explanation:

Your question does not define the quadrant in which the angle is of the

cos⁻¹ (- √2/2).

If it is in the second quadrant then the angle is 3π/4 and if it is in the third quadrant then the angle is 5π/4

1) second quadrant  angle is 3π/4

sin ( cos⁻¹ (- √2/2)) + tan⁻¹ ( sin ( π/2)) = sin ( 3π/4) + tan⁻¹ 1 =

=  √2/2 + π/4 = (2√2 + π) / 4

2) third quadrant angle is 5π/4

sin ( cos⁻¹ (- √2/2)) + tan⁻¹ ( sin ( π/2)) = sin ( 5π/4) + tan⁻¹ 1 =

= - √2/2 + π/4 = (-2√2 + π) / 4

God is with you!!!

ok then what happened.

h is the x-coordinate of the vertex

step-by-step explanation:

we have

in this function

the point represent the vertex of the function

so

h is the x-coordinate of the vertex

k is the y-coordinate of the vertex