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What is the expanded form of sin a B?

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What is the expanded form of sin a B?

The expansion of sin(a + b) is given as, sin (a + b) = sin a cos b + cos a sin b.

What is the value of sin A B C?

Q9. Find the value of sin 60° × cos 30° + sin 30° × cos 60°. Q10.

How do you do sine?

How to Calculate the Sine of an Angle

  1. Identify the hypotenuse. Where’s the right angle?
  2. Locate the opposite side. Look at the angle in question, which is.
  3. Label the adjacent side. The only side that’s left, side k, has to be the adjacent leg.
  4. Locate the two sides that you use in the trig ratio.
  5. Find the sine.

How do you expand ABC 3?

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(a + b + c)3 = a3 + b3 + c3+3a2b+3a2c + 3b2c +3b2a +3c2a +3c2a+6abc.

What is sin 2A?

The general formula of sin2A is, sin2A = 2 sin A cos A. Using sin2A + cos2A = 1, we get sin A = √(1 – cos2A). Substituting this in the given formula, sin2A = 2 √(1 – cos2A) cos A.

How do you expand Sin (A+B+C)?

We know that sin (A+B)=sinAcosB+cosAsinA and cos (A+B) = cosAcosB-sinAsinB. So, first consider (A+B) as a one angle in sin (A+B+C) and then use the above formula to expand sin (A+B+C) as shown below:

What is the value of sin a = Cos B?

If A + B = 180° then: sin (A) = sin (B) cos (A) = -cos (B) If A + B = 90° then: sin (A) = cos (B) cos (A) = sin (B)

How do you find the power series expansion of sin x?

Taylor’s Series of sin x In order to use Taylor’s formula to find the power series expansion of sin x we have to compute the derivatives of sin(x): sin�(x) = cos(x) sin��(x) = − sin(x) sin���(x) = − cos(x) sin(4)(x) = sin(x). Since sin(4)(x) = sin(x), this pattern will repeat.

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What is the Maclaurin series for sin(x)?

Thus, the Maclaurin series for sin ( x) is From the first few terms that we have calculated, we can see a pattern that allows us to derive an expansion for the nth term in the series, which is Substituting this into the formula for the Taylor series expansion, we obtain

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