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What is the value of the trigonometric function?

 

tan(−(7π/4))=  

sec(π/6)=  

cos(23π/6)

 Feb 12, 2020
 #1
avatar+109740 
+1

First one....convert   -7pi/4   to a positve measure = 

2pi -7pi/4  =

8pi/4 -7pi/4 =

pi/4

So.....tan  pi /4  =  tan 45°  =  1/1   = 1

 

 

Second one

sec pi/6   =  sec 30°

Note hat cos 30° =  √3/2

So.....the secant here is the reciprocal of this  = 2 /√3   =  2√3

                                                                                          ____

                                                                                             3

 

 

Last one 

cos 23pi /6 

Convert  23pi/6  into  degree measure

23pi /6  x   180 /pi  =       23 * (180/6)  = 23 * 30   = 690°   

And 690 - 360  =   330°

So....this is a 30° reference angle in the 4th quadrant

cos (330)  =  cos (30)  = √3/2

 

 

cool cool cool

 Feb 12, 2020

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