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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

Write down all the figures on your calculator display.

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Answer

  1. First, input the values into the calculator.

    Using a scientific calculator, we compute:

    • Calculate (\sin 25^\circ): approximately (0.4226)

    • Calculate (\sin 40^\circ): approximately (0.6428)

    • Add these two results: sin25+sin400.4226+0.6428=1.0654\sin 25^\circ + \sin 40^\circ \approx 0.4226 + 0.6428 = 1.0654

    • Calculate (\cos 25^\circ): approximately (0.9063)

    • Calculate (\cos 40^\circ): approximately (0.7660)

    • Subtract these two results: cos25cos400.90630.7660=0.1403\cos 25^\circ - \cos 40^\circ \approx 0.9063 - 0.7660 = 0.1403

    • Now, we divide the two results: 1.06540.14037.5976257\frac{1.0654}{0.1403} \approx 7.5976257

    Therefore, the figures on the calculator display are approximately 7.5976257.

Step 2

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

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Answer

Round the result from part (a):

The number 7.5976257 rounded to 2 decimal places is 7.60.

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