Question

Asin x + B cos x Transformation Formula
1. Each of the following expressions can be written in the form R cos(x − α) with 0° < α < 90°.
In each case, determine the values of R and α (in °) correct to 1 decimal place.
a) 5 cos x + 12 sin x
b) - 3 cos x + sin x
c) 3 cos x − sin x

2. Each of the following expressions can be written in the form R sin (x − α) with 0° < α < 90°.
In each case determine the values of R and α (in °) correct to 1 decimal place.
a) 5 cos x - 12 sin x
b) −(cos x + sin x)
c) -3 cos x − sin x

3. Solve the following equations for 0 < x < 360° using alternately the transformations into R cos (x-α) or R sin (x -α).
Give your answers in ° and in rad, to 1 decimal place.
a) 2 cos x + sin x = 1
b) 2 cos x − sin x = 1
c) − cos x + 2 sin x = 1/2
d) − cos x − 2 sin x = ½

Answer 1

Answer:

bhai abhi mae class 9 mae hi hu