14 Find the exact value in radians 14sin1 C A 15 15 tan1 1 C

14) Find the exact value in radians 14)sin-1 C) A) 15) 15) tan-1 (-1) C) A) B) 16) Use the rational zero theorem to find all possible rational zeros for the polynomial function. 16) Px)-x3 6x2 11x- 248 Identify the vertex of the parabola 17) x) 2x2-8x5 A) 2, 3) 17) Find the trigonometric function value for the angle shown. 18) 18) cos -10 10 x 10 B)cos =-4 D) cos e 2 Answer the question. 19 19) How can the graph of f(x)-+6 be obtained from the graph of y A) Shift it horizontally -6 units to the left. Reflect it across the x-axis. B) Shift it horizontally 6 units to the left. Reflect it across the x-axis. C) Shift it horizontally 6 units to the left. Reflect it across the y-axis. D) Shift it horizontally 6 units to the right. Reflect it across the x-axis. n-8

Solution

14) sin^-1 (1/2)

using unit circle

the angle with sin 1/2 is pi/6

hence, option d is correct

15) tan^-1 (-1)

tan theta = sin theta / cos theta

sin (-pi/4 )= - sqrt 2 /2

cos (- pi/4) = sqrt 2 /2

tan ( -pi/4 ) = - sqrt 2 /2 / sqrt 2 / 2 = -1

hence, tan^-1 (-1) = -pi/4 or 7pi/4

option a is correct

16) p(x) = 2x^3 + 6x^2 +11x - 8

possible rational roots occur at factors of constant term / factors of leading coefficient

rational roots are +- { 1 , 2 , 4 , 8 } / { 1 , 2 }

= +- 1 , +- 2 , +- 4 , +- 8 , +- 1/2

option c is correct