number 7 pls 16 Sketch unit circle diagrams showing each ang

number 7 pls

1-6. Sketch unit circle diagrams showing each angle in standard position, incorporating in the diagram the given numerical (or algebraic) data: (for example, in problem (1), your diagram should show how the numbers \"-3\" and \"4 are involved in sketching the angle cos-1(-3/4) in standard position) -3 2, =sin-1(4 B= tan-1 (2 3, 4. C = cot-1 (-2) sec-5 D = tan-1 (m) 6. (where m is a negative number) problem(1)tofindtheexact valueof sin(m(:) -3 4 7. Use problem (1) to find the exact value of: sin cos -1

Solution

sin(cos^-1(-3/4))

Let cos^-1(-3/4)=t

cos t=-3/4

adjacent=3 ,hypotenuse=4

opposite=sqrt(16-9)=sqrt7

sin t= opposite/hypotenuse= sqrt7/4

sin(cos^-1(-3/4)) =sqrt 7/4