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Use your calculator to work out $$\frac{\sin 25^\circ + \sin 40^\circ}{\cos 25^\circ - \cos 40^\circ}$$ (a) Write down all the figures on your calculator display - Edexcel - GCSE Maths - Question 8 - 2017 - Paper 2

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Use-your-calculator-to-work-out--$$\frac{\sin-25^\circ-+-\sin-40^\circ}{\cos-25^\circ---\cos-40^\circ}$$--(a)-Write-down-all-the-figures-on-your-calculator-display-Edexcel-GCSE Maths-Question 8-2017-Paper 2.png

Use your calculator to work out $$\frac{\sin 25^\circ + \sin 40^\circ}{\cos 25^\circ - \cos 40^\circ}$$ (a) Write down all the figures on your calculator display. ... show full transcript

Worked Solution & Example Answer:Use your calculator to work out $$\frac{\sin 25^\circ + \sin 40^\circ}{\cos 25^\circ - \cos 40^\circ}$$ (a) Write down all the figures on your calculator display - Edexcel - GCSE Maths - Question 8 - 2017 - Paper 2

Step 1

(a) Write down all the figures on your calculator display.

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Answer

To evaluate the expression, first, we need to compute the values of sin25\sin 25^\circ, sin40\sin 40^\circ, cos25\cos 25^\circ, and cos40\cos 40^\circ using a scientific calculator:

  1. Calculate sin250.42262\sin 25^\circ \approx 0.42262
  2. Calculate sin400.64279\sin 40^\circ \approx 0.64279
  3. Calculate cos250.90631\cos 25^\circ \approx 0.90631
  4. Calculate cos400.76604\cos 40^\circ \approx 0.76604

Substituting these values into the main expression:

0.42262+0.642790.906310.76604\frac{0.42262 + 0.64279}{0.90631 - 0.76604}

This simplifies to:

1.065410.140277.60005\frac{1.06541}{0.14027} \approx 7.60005

The calculator display shows: 7.60005.

Step 2

(b) Write your answer to part (a) correct to 2 decimal places.

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Answer

To round the answer from part (a) to two decimal places, we observe the third decimal place:

7.600057.607.60005 \approx 7.60

Thus, the final answer is: 7.60.

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