Simplify csc θ(1−cos^2 θ)/sinθ cos θ to a single trigonometric function

Step-by-step explanation:

Step(i):-

Given that the trigonometric function

  we know that    sin²∝ + cos²∝ = 1

                      ⇒    sin²∝ = 1- cos²∝

Now we have to simplify the given trigonometric function

                =      

               =      

Step(ii)

         we know that  cosec∝ = 1/ sin∝

              =

    After cancellation sine function, we get

          =  

Final -

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.

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