Question

Q5 2tan 30°/1+tan230°
2 points
O (a)Sin 60
O (b)Cos 60
оооооо
0 (c)Tan 60
0 (d)Sin 30
This is a required question​

Answer 1

Answer:

option b) cos 60

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Thank you for your question.

Answer 2

✰ǫᴜᴇsᴛɪᴏɴ✰

• Value of $\frac{2tan(30^o)}{1+tan^2(30^o)}$

✪ᴀɴsᴡᴇʀ✪

• a)$Sin(60^o)$

⍟ᴇxᴘʟᴀɪɴᴀᴛɪᴏɴ⍟

$\to \frac{2tan(30^o)}{1+tan^2(30^o)}$

$= \frac{2\frac{1}{\sqrt{3}}}{1+\left[\frac{1}{\sqrt{3}}\right]^2}$

$= \frac{\frac{2}{\sqrt{3}}}{1+\frac{1}{3}}$

$= \frac{\frac{2}{\sqrt{3}}}{\frac{4}{3}}$

$= \frac{2}{\sqrt{3}}\times \frac{3}{4}$

$= \frac{\sqrt{3}}{2}$

$= sin(60^o)$