Find the equation for the curve in its final position. 8) The graph y sin (x) is

Question

Find the equation for the curve in its final position. 8) The graph y sin (x) is shifted a distance of T/12 to the right, stretched by a factor of 6, translated 4 8) units downward, then reflected in the x-axis. @p=-6 sin|x-m..4 12 Solve the triangle. If there is more than one triangle with the given parts, give both solutions. 9) ? = 20.5° b = 2.46 9) Sne a 3.51 A) a = 150.0, ? = 95°, c= 1.16 B)ht = 30.0®, ya 129.5, c = 5.4; 1.16 30.0®, ? a' i 50.0°, ?. # 95°, c' D) No solution C)a 1295°, c-5.4 ? i 20. 3.5 Perform the indicated operation. Use the form ca, bs for vectors.

Explanation / Answer

A. Because of shft to right side by pi/12 we will have -pi/12 inside the function that is y=sin(x-pi/12)

Because of stretch factor of 6, we will have 6 with the function that is y= 6 sin(x+ pi/12)

And it shifts to 4 units down that is y= 6sin(x - pi/12)-4

And reflected across x axis

y=-( 6sin(x - pi/12)-4) = -6sin(x - pi/12) +4

Correct option is A

9.

using sine law

sinBeta/b = sin Alpha/a

sin20.5/ 2.46 = sin alpha/3.51

alpha1=30 degree

alpha2=180 - 30 = 150 degree

gamma1=180-beta-alpha1 = 129.5 degree

gamma2=180-beta-alpha2 = 9.5

So correct option is B

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