Give the approximate answers to the equations, given as decimals, accurate to th

Question

Give the approximate answers to the equations, given as decimals, accurate to the nearest 0.001. All trigonometric functions are assumed to be in radians. There may be more than one answer to a given equation in the indicated range. Please list all answers in the indicated range,

(a)Find all values of x with -pi<x<pi such that cos(x + 0.8) = -0.38

(b)Find all values of x with -pi<x<pi such that sin(2x) = -0.29

(c)Find all values of x with -pi<x<pi such that sin(2x + 1.8) = -0.18

Explanation / Answer

1) arccos(-0.38) =1.96 =x +0.8 = 5.10

x =1.16 radian , 4.3 radian (ans)

2) sin(2x) = -0.29

2x = -0.29 ,3.43 , 5.99 , -2.95

x = -0.145 radians , -1.475 radian , 1.715 radian , 2.995 radians (ans)

3) sin(2x + 1.8) = -0.18

2x + 1.8 = -0.18 , 3.32 , 6.10 , -2.96

x = -0.99 , 0.76 , 2.15 , -2.38 radians (ans)

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