Question 0
Which angle between 90 and 270 has the same sine value as 60°?

Which angle between –180° and 0 has the same cosine value as 290°?

degrees

(i) 120°

Step-by-step explanation:

(i)

sine 90 = 1

sine 120 = 0.87 (rounded up to two decimal places)

sine 150 = 0.5

sine 180 = 0

sine 210 = -0.5

sine 240 =  -0.87 (rounded up to two decimal places)

sine 270 = -1

sine 60 =  0.87 (rounded up to two decimal places)

So the angle x such that 90° < x < 270° that has the same sine value as 60° is 120°

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph