jd141751 jd141751
  • 11-04-2017
  • Mathematics
contestada

Prove the following identity.
sin 3θ = 3 sin θ − 4 sin3 θ

Respuesta :

Sxerks Sxerks
  • 11-04-2017
I'll work in x because I'm on my phone.

Proof: LHS = sin3x = sin(2x + x)
= sin2x cosx + cos2x sinx
= 2sinxcos^2x + cos^2x sinx - sin^3x
= 2sinx (1 - sin^2x) + sinx (1 - sin^2x) - sin^3x
= 2sinx - 2sin^3x + sinx - sin^3x - sin^3x
= 3sinx - 4sin^3x = RHS
Answer Link

Otras preguntas

What is the input value for which g(x) = -2? x = ?
A rectangle has a length that is 5 inches greater than its width, and its area is 104 square inches. The equation (x + 5)x = 104 represents the situation, where
the ozone layer absorbs​
How many moles of chlorine are in 300 liters of chlorine
Can someone please just give me a formula for solving this? Thank you. When baking a cake, you have a choice of the following pans: a round cake pan that is 2
normally the nervous system utilize about ------- of the glucose consumed each day​
Find the solution set of this system: y=−3x x2−4=y (4,12), (−1,3) (−1,−3) only (4,12) only (−4,12), (1,−3)
How did the Cold War affect Latin America, the Middle East, and Asia? need help ASAP
Leave your answer in simplest radical form
Why did the Ayatollah Khomeini have strong feelings against the United States government