+0  
 
0
62
2
avatar

Let \(f(x) = \sec x + \csc x \). Compute \(f\left(\frac{5\pi}{6}\right) + f\left(\frac{5\pi}{4}\right) + f\left(\frac{11\pi}{6}\right)\).

 Jul 27, 2020
 #1
avatar+27605 
+1

sec = 1/cos      csc = 1/sin   so we need sin and cos for all of the objects

 

5pi/6    sin = 1/2        cos =   - sqrt3/2

5pi/4    sin = - sqrt2/2    cos = -srt2/2

11pi/6   sin = -1/2      cos  = sgrt3/2

 

so ....adding all of these inverses

 

2 - 2 /sqrt3    - 2/sqrt2   -  2/sqrt2   - 2 + 2/sqrt3   =  -   4 / sqrt 2   = - 4 sqrt 2/2   = - 2 sqrt 2

 Jul 27, 2020
edited by ElectricPavlov  Jul 27, 2020
 #2
avatar
0

thank you so much!

Guest Jul 27, 2020

60 Online Users

avatar