I calculated \sin 75^{\circ} as \frac{1}{2\sqrt{2}}+\frac{\sqrt{3}}{2\sqrt{2}}, but the answer is

poveli1e

poveli1e

Answered question

2022-01-27

I calculated sin75 as 122+322, but the answer is 2+64. What went wrong?
I calculated the exact value of sin75 as follows:
sin75=sin(30+45)
=sin30cos45+cos30sin45
=1212+3212
=122+322
The actual answer is
2+64

Answer & Explanation

kumewekwah0

kumewekwah0

Beginner2022-01-28Added 14 answers

They’re the same value. Multiply the numerator and denominator of your answer by 2 to see why.
1+322=221+322=2+64
You can also use sin45=cos45=22 (rationalizing 12) to get the answer more easily.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?