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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

Question 8

$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 d... 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

To calculate the expression, we first compute the values of the sine and cosine functions:

Calculate $\sin 25^{\circ} \approx 0.4226$
Calculate $\sin 40^{\circ} \approx 0.6428$
Calculate $\cos 25^{\circ} \approx 0.9063$
Calculate $\cos 40^{\circ} \approx 0.7660$

Now substitute these values into the expression:

$\frac{0.4226 + 0.6428}{0.9063 - 0.7660} = \frac{1.0654}{0.1403} \approx 7.5962...$

On the calculator display, the result shows 7.5962... before rounding.

Step 2

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

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Answer

Rounding the answer from part (a), we have:

$7.5962... \approx 7.60$

Thus, the final answer to part (b) is 7.60.

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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

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

Write down all the figures on your calculator display.

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

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