Question

Trigonometry question

Answer 1

FIND\[ \tan (\frac{ a }{ 2 })\]
KNOWING
\[\sin(a)+\cos(a)=\frac{ 7 }{ 5 }\]
and a E (0,pi/3)

Answer 2

By E, you mean ?

Answer 3

*∈

Answer 4

nvm, hartnn is her, he will help you ... I suck at this

Answer 5

bbbbbbbye

Answer 6

As we don't know the first step how to proceed here, let us take us risk here.. :P

Square both the sides first...

Answer 7

someone is mixing the replies

Answer 8

Who's that?? @SolomonZelman

Answer 9

No clue, maybe it is nobody...

Answer 10

Anyway, back to the math part...

Answer 11

Are you hesitating to say your name? :P

Answer 12

@Alexander95 I am expecting a reply from your side...

Answer 13

yes.......

Answer 14

I mean, not "yes", just square both sides buddy and show us where you have reached..

Answer 15

sin(2a)=24/25

Answer 16

\[[\sin(a) + \cos(a)]^2 = (\frac{7}{5})^2\]

Answer 17

You are one step ahead of me, that's nice...

Answer 18

a little bit faster @waterineyes

Answer 19

sin^2(a)+2sin(a)cos(a)+cos^2(a)=1+sin(2a)=(7/5)^2..

Answer 20

Let me think myself also.. @Alexander95 and till then run your brain too..

Answer 21

So, we have got sin(2a) and can you find cos(2a) from here??

Answer 22

nope

Answer 23

I mean using the Identity:

\[\sin^2(x) + \cos^2(x) = 1\]

Answer 24

=sqrt(1-(24/25)^2)

Answer 25

Simplify it more..

Answer 26

7/25

Answer 27

I got it from here

Answer 28

You can do from here??

Answer 29

yeah

Answer 30

Really? Go ahead, if you see face of any difficulty, then face me I mean tell me.. :)