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1. What is the value of x?

sin(x+22)°=cos(2x−7)°

Remember to show all of your work

 

2. Given cosx=1213cosx=1213 and sinx=513sinx=513 . 

What is ratio for ​ tanxtanx ​ ?

leave answer as a fraction in simplest form

Remember to show all of your work 

Guest Mar 9, 2018
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 #1
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1. What is the value of x?

sin(x+22)°=cos(2x−7)°

 

Remember that the  sine and cosine  are co-functions

So.....sin (theta)   =  cos (90 - theta)

This implies that  the angles sum to 90°

So

( x + 22)  + (2x - 7)  =  90    simplify

3x + 15  = 90     subtract  15 from both sides

3x  =  75      divide both sides by 3

x  = 25

 

 

2. Given cosx=12/13and sinx=5/13

What is ratio for ​ tanx ​ ?

 

tan x   =   sinx / cos x

tan x  =   (5/13) / (12/13)   =  (5/13) * (13/12)  =  5/12

 

 

 

cool cool cool

CPhill  Mar 9, 2018

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