The polar coordinates of a point are given Plot the point (6, π/2) 10 10 (6, π/2) (6, π/2) 10 5 10 10 10 10 6, /2) (6, π/2) 10 5 10 10 10 10L Find the corresponding rectangular coordinates for the point (x, y) = ( The polar coordinates of a point are givenMedium View solution The number of positive integral solutions of the equation Transcript Ex 33, 3 Prove that cot2 π/6 cosec 5π/6 3 tan2 π/6 = 6 Taking LHS cot2 π/6 cosec 5π/6 3 tan2 π/6 Putting π = 180° = cot2(180/6) cosec((5 ×180)/6) 3 tan2(180/6) = cot2 30° cosec (150°) 3tan2 30° Here, tan 30° = 1/√3 cot 30° = 1/tan〖30°〗 = 1/(1/√3) = √3 For cosec 150° , First, Finding sin 150° sin 150° = sin (180 – 30° ) = sin 30
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