Find the exact value of tan 30° × sin 60°
Give your answer in its simplest form. - Edexcel - GCSE Maths - Question 15 - 2019 - Paper 1
Question 15
Find the exact value of tan 30° × sin 60°
Give your answer in its simplest form.
Worked Solution & Example Answer:Find the exact value of tan 30° × sin 60°
Give your answer in its simplest form. - Edexcel - GCSE Maths - Question 15 - 2019 - Paper 1
Step 1
Calculate tan 30°
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Answer
The value of (\tan 30°) is known to be (\frac{1}{\sqrt{3}}).
Step 2
Calculate sin 60°
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Answer
The value of (\sin 60°) is (\frac{\sqrt{3}}{2}).
Step 3
Multiply the results
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Answer
Now, we calculate the expression:
[ \tan 30° \times \sin 60° = \frac{1}{\sqrt{3}} \times \frac{\sqrt{3}}{2} ]
This simplifies to:
[ \frac{1}{\sqrt{3}} \times \frac{\sqrt{3}}{2} = \frac{1}{2} ]
