The sin cube x formula is given as follows: sin3x = (3sinx -sin3x)/4, that is, sin^3x formula is equal to (3sinx – sin3x) divided by 4. Here we establish the formula of sine cube x and give a proof.
What is sin cube x formula
Answer: sin3x = (3sinx -sin3x)/4
Proof:
To establish the formula of sin^3x, we will use sin3x formula which is provided below:
sin3x = 3sinx – 4sin3x.
Adding -3sinx to both sides, we get that
– 3sinx + sin3x = – 3sinx + 3sinx – 4sin3x
⇒ – 3sinx + sin3x = – 4sin3x
⇒ 3sinx – sin3x = 4sin3x (changing the signs)
Dividing both sides, we obtain that
(3sinx – sin3x)/4 = sin3x.
So the sin3x formula is given by sin3x = (3sinx – sin3x)/4 and this is proved by using the formula of sin3x.
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FAQs
Q1: What is the sin^3x formula?
Answer: sin3x = (3sinx – sin3x)/4 is the formula of sin^3x.
Q2: What is the sin^3θ formula?
Answer: The sin cube theta formula says that sin3θ = (3sinθ -sin3θ)/4.
Q3: What is the formula of sin 3theta?
Answer: Sin 3theta formula is equal to 3 sin theta – 4 sin 3theta.