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Which expression is equal to  tan^2ϴ cscϴ+(1/sin(ϴ))

a. sec^3 ϴ

b. csc^3 ϴ

c. csc^2 ϴ sec ϴ

d. sec^2 ϴ cscϴ

nlbradshaw0430  Apr 13, 2017
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tan^2 θ  * csc θ   +  (1 / sin θ)

 

[sin^2 θ / cos^2 θ] * (1/ sin θ) + (1 /sin θ)     factor out  1 / sin θ

 

1 / sin θ  [  sin ^2 θ / cos^2θ   +  1 ]  =

 

1/sin θ [  (sin^2θ + cos^2θ] / cos^2θ  =

 

1/sin θ  [ 1 / cos^2 θ ]  =

 

cscθ * sec^2 θ  =

 

sec^2 θ csc θ

 

 

 

cool cool cool

CPhill  Apr 13, 2017

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