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An angle of a right triangle has a cotangent value of 5/12. Complete the statements using the given information and the diagram shown on the right. a = b = c =

Respuesta :

calculista
the complete question in the attached figure

Part 1) find sec (theta)

we know that
sec (theta)=1/ cos (theta)
cos (theta)=adjacent side angle theta/hypotenuse
adjacent side angle theta=5
hypotenuse=13
so
cos (theta)=5/13
sec (theta)=1/(5/13)-------> sec (theta)=13/5

the answer Part 1) is
sec (theta) = 13/5

Part 2)simplify sec(theta)*cos (theta)
sec (theta)=13/5
cos (theta)=5/13
so
sec(theta)*cos (theta)=(13/5)*(5/13)----> 1

the answer part 2) is 1

Part 3)simplify cot(theta)/cos(theta)
cot (theta)=5/12
cos (theta)=5/13
so
cot(theta)/cos(theta)=(5/12)/(5/13)----> 13/12

we know that
sin (theta)=opposite angle theta/hypotenuse
opposite side angle theta=12
hypotenuse=13
sin (theta)=12/13
csc (theta)=1/sin (theta)------> csc (theta)=1/(12/13)----> csc (theta)=13/12
therefore
cot(theta)/cos(theta)=csc (theta)

the answer Part 3) is 
csc (theta)

Part 4)simplify cot(theta)*sin(theta)
cot (theta)=5/12
sin (theta)=12/13
so
 cot(theta)*sin(theta)=(5/12)*(12/13)----> 5/13
cos (theta) =5/13
therefore
cot(theta)*sin(theta)=cos (theta)

the answer part 4) is
cos (theta)
Ver imagen calculista

Here is the answer for the first part it is in the photo above from the other persons answer but here it is more clearer

A=5

B=12

C=13

sec(0)= 13/5

Hope this helped!!

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