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Right  △ABC has its right angle at C, BC=4 , and AC=8 .

What is the value of the trigonometric ratio for

 

cos B

csc B

tan A

 Mar 3, 2020
 #1
avatar+36916 
0

cos = adjacent / hypotenuse         you will need to calculate the hypotenuse first ...using pythagorean theorem...

     what do you find for the hypotenuse length?

 

sin = opposite / hypotenuse

 

tan = opposite/adjacent

 

csc= 1/sin

 Mar 3, 2020
 #2
avatar+128475 
+2

AB  is the  hypotenuse=   sqrt  (8^2 + 4^2)   =  sqrt ( 64 + 16) =  sqrt (80)   =  sqrt (16 * 5)  = 4sqrt (5)

 

cos B  =  BC / AB =   4 / [ 4sqrt (5) ] =   1 / sqrt (5)   =    sqrt (5)   / 5

 

csc B =   AB / AC =  4sqrt (5) / 8   =   sqrt (5)  / 2

 

tan A =  BC / AC   = 4 / 8    = 1  / 2

 

 

cool cool cool

 Mar 4, 2020

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