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.
... 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
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∘+sin40∘≈0.4226+0.6428=1.0654
Calculate (\cos 25^\circ): approximately (0.9063)
Calculate (\cos 40^\circ): approximately (0.7660)
Subtract these two results:
cos25∘−cos40∘≈0.9063−0.7660=0.1403
Now, we divide the two results:
0.14031.0654≈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.