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Trigonometric Identities and Equations

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Question 52

At 12 noon the temperature in Harry’s house is 20°C. At 6 pm the temperature in Harry’s house is 26°C. Harry models the temperature in his house, T, by the formula

T=A+Bsin⁡(15h) T = A + B \sin(15h) T=A+Bsin(15h)

where h h\,h is the number of hours after 12 noon.

a.

State the value that Harry should use for AAA.

[1]
b.

State the value that Harry should use for BBB.

[1]
c.

Using this model, calculate the temperature in Harry’s house at 9 pm. Give your answer to 1 decimal place.

[1]
d.

Using the model find the number of hours in a day that the temperature will be above 23°C

[4]
Markscheme

Trigonometric Identities and Equations Questions

  1. A Level
  2. /Maths
  3. /Trigonometric Identities and Equations

322 exam-style questions on Edexcel A Level Maths Trigonometric Identities and Equations, covering 10.1 Angles in all four Quadrants, 10.2 Exact Values of Trigonometric Ratios, 10.3 Trigonometric Identities, 10.4 Solving Trigonometric Equations, 10.5 Harder Trigonometric Equations, and 10.6 Equations and Identities. Each one has a worked solution and a mark scheme showing where the marks go.

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