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Trigonometric Identities and Equations

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Question 17

At 12 noon the temperature in Harry's house is 22∘C22^{\circ}\text{C}22∘C At 6 pm the temperature in Harry's house is 25∘C25^{\circ}\text{C}25∘C

Harry models the temperature in his house, TTT, 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.

[2]
c.

Using this model, calculate the temperature in Harry's house at 9 pm.

[2]
d.

Using the model find the number of hours in a day that the temperature will be above 23.5∘C23.5^{\circ}\text{C}23.5∘C

[4]

Trigonometric Identities and Equations Questions

  1. AS Level
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  3. /Trigonometric Identities and Equations