Rewrite with only sin x and cos x. sin (3x) - cos (x) please guide me with showing work because the process of substituting is what i'm having difficulties with


Asked by maham237 @ in Mathematics viewed by 302 People

Answered by maham237 @



Sin (3 x) - cos (x)=
= sin (2x + x) - cos (x)=
= sin 2x * cos x + cos 2 x * sin x - cos x = ( using additional formulas )
= 2 sin x cos² x + ( cos² x - sin² x ) sin x - cos x =
= 2 sin x cos² x + ( 1 - sin² x - sin² x ) sin x - cos x =
= 2 sin x cos² x + ( 1 - 2 sin² x ) sin x - cos x =
= 2 sin x cos² x + sin x - 2 sin³ x - cos x
Answer: B )

Similar Questions

Rewrite with only sin x and cos x. sin 2x - cos 2x

Asked by maham237 @ in Mathematics viewed by 307 persons

10. Rewrite with only sin x and cos x. (1 point) sin 2x - cos 2x a) 2 sinx cosx - 1 + 2 sin2x b) 2 sin x cos2x …

If sin x 20 cos 3x 10 find x

Asked by admin @ in Math viewed by 518 persons

If sin[x-20]=cos[3x-10].find x

Rewrite in simplest radical form 1 x^−3 6 . show each step of your process.

Asked by maham237 @ in Mathematics viewed by 382 persons

Rewrite in simplest radical form 1 x −3 6 . show each step of your process.

Asked by maham237 @ in Mathematics viewed by 687 persons

X = sin 1 2 θ , y = cos 1 2 θ , −π ≤ θ ≤ π

Asked by maham237 @ in Mathematics viewed by 320 persons

X = sin 1/2θ, y = cos 1/2θ, −π ≤ θ ≤ π(a) eliminate the parameter to find a cartesian equation of the curve.

Let f(x) = 4x2 + x + 1 and g(x) = x2 – 2. find g(f(x)). show each step of your work.

Asked by maham237 @ in Mathematics viewed by 295 persons

Let f(x) = 4x2 + x + 1 and g(x) = x2 – 2. Find g(f(x)). Show each step of your work. Help please

Cos tan 1 x sin cot 1 3 4

Asked by admin @ in Math viewed by 289 persons

Solve the following equation for x:cos(tan-1 x )=sin(cot-1 3/4)​

The maximum value of sin x cos x is

Asked by admin @ in Math viewed by 437 persons

What is the maximum value of sinxcosx.

The greatest value of sin x cos x is

Asked by admin @ in Math viewed by 302 persons

The greatest value of sin x cos x is​

Cos x sin x tan x sec x

Asked by admin @ in Math viewed by 377 persons

Prove that tan(x)sin(x) +cos(x) = sec(x)

Write the ratios for sin x and cos x

Asked by maham237 @ in Mathematics viewed by 275 persons

Write the ratios for sin x and cos x.

Asked by maham237 @ in Mathematics viewed by 252 persons

Write the ratios for sin X and cos X

Most viewed questions in Mathematics


Unit 6 similar triangles homework 2 similar figures answer key

Asked by maham237 @ in Mathematics viewed by 18208 persons


All things algebra unit 7 polygons and quadrilaterals answer key

Asked by admin @ in Mathematics viewed by 8047 persons


Gina wilson all things algebra 2016 answer key unit 11

Asked by admin @ in Mathematics viewed by 5706 persons



Unit 1 geometry basics homework 4 angle addition postulate answers

Asked by maham237 @ in Mathematics viewed by 3903 persons


Unit 6 exponents and exponential functions homework 8 answer key

Asked by maham237 @ in Mathematics viewed by 3194 persons


The manager of a vacation resort believes that the ages

Asked by maham237 @ in Mathematics viewed by 2893 persons



What is 271 403 rounded to the nearest ten thousand

Asked by maham237 @ in Mathematics viewed by 2734 persons


Unit 1 geometry basics homework 3 angle relationships answer key

Asked by maham237 @ in Mathematics viewed by 2523 persons


Homework 2 parallelograms

Asked by maham237 @ in Mathematics viewed by 2466 persons



Why would a prism beat a sphere in a competition?

Asked by maham237 @ in Mathematics viewed by 2440 persons


John wants to send a letter to peter

Asked by maham237 @ in Mathematics viewed by 2429 persons


Unit 4 congruent triangles homework 1 classifying triangles answer key

Asked by maham237 @ in Mathematics viewed by 2391 persons



An artist sells a painting for 20.50 but uses 5.75

Asked by maham237 @ in Mathematics viewed by 2388 persons


Unit 4 congruent triangles homework 2 angles of triangles

Asked by maham237 @ in Mathematics viewed by 2043 persons


Compare the values of the 2s and 5s in 55220

Asked by maham237 @ in Mathematics viewed by 1764 persons