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11.3 Using Trigonometric Identities

11.3 Using Trigonometric Identities

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Question 29
a.

Prove the identity

sin⁡2x1+tan⁡2x≡2sin⁡xcos⁡3x \frac{\sin 2x}{1 + \tan^2 x} \equiv 2 \sin x \cos^3 x 1+tan2xsin2x​≡2sinxcos3x
[3]
b.

The rate of airflow R R\,R into a mechanical respirator, in litres per second, is modeled by the function

R(t)=10sin⁡6t1+tan⁡23t R(t) = \frac{10 \sin 6t}{1 + \tan^2 3t} R(t)=1+tan23t10sin6t​

where t t\,t is the time in seconds. Find an expression for the total volume of air V=∫R(t) dtV = \int R(t) \, dtV=∫R(t)dt.

[4]
Markscheme

11.3 Using Trigonometric Identities Questions

  1. A Level
  2. /Maths
  3. /11.3 Using Trigonometric Identities

31 exam-style questions on Edexcel A Level Maths 11.3 Using Trigonometric Identities. Each one has a worked solution and a mark scheme showing where the marks go.

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