+0  
 
0
600
1
avatar

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
 #1
avatar+87294 
+1

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

8 Online Users

avatar
avatar

New Privacy Policy

We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive information about your use of our website.
For more information: our cookie policy and privacy policy.