Prove that Sin ( 180 ∘ X ) Cos ( 90 ∘ X ) Tan ( 270 ∘ − X ) Cot ( 360 ∘ − X ) Sin ( 360 ∘ − X ) Cos ( 360 ∘ X ) C O S E C ( − X ) Sin ( 270 ∘ X ) = 1 - Mathematics | Shaalaa.com
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SOLVED:(a) Graph the function y=sin(πx / 180) in the standard viewing rectangle. Describe what you see. (b) Change the viewing rectangle so that x extends from 0 to 360 . The graph that you obtain is the graph of y=sinx, where x is now measured in degrees. (c) According to Example 6, there are two solutions of the equation sins coss=1 in the interval 0^∘ ≤s<360^∘ Confirm this by graphing the two equations y=sin(πx)/(180) cos(πx)/(180) and y=1 for 0 ≤x ≤360 and noting that there are two interse
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