Find sin 2x, cos 2x, and tan 2x from the given information. sinx=(5/13), x is 1

Calculus
Tutor: None Selected Time limit: 1 Day

Find sin 2x, cos 2x, and tan 2x from the given information.  
sinx=(5/13), x is 1

May 15th, 2015

According to given question 

if x is 1

Sinx = 5/13 

Cosx = 12/13 

Cosx = 1 - 2 SIn^2x/2 
Sinx/2   = Sqrt (1-Cosx / 2) 

Sinx/2 = 1/Sqrt26 

Cosx = 2Cos^2x/2 - 1 

Cosx/2 = Sqrt(Cosx +1 / 2) = 5/Sqrt26 

Tanx/2 

=Sinx/2 / Cosx/2 

= 1/Sqrt26 / 5 / Sqrt26

 =1/5

Answer 

Best Of  Luck 

May 15th, 2015

sinx=(5/13), x is Quadrant 1

Does this change the answer?

May 15th, 2015

in first quaderant all the values of sin ,cos,tan is always positive so answer will be positive


May 15th, 2015

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May 15th, 2015
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May 15th, 2015
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