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CBSE Class 12-science Answered

find the number of solutions of the equation 6cosec²theta-5cosecthetha+1=0
Asked by rakeshpandey020280 | 17 Mar, 2021, 07:06: PM
answered-by-expert Expert Answer
To find the solution of 6 cosec²theta - 5 cosec thetha + 1 = 0

Let space cosecθ equals straight t rightwards double arrow 6 straight x squared minus 5 straight x plus 1 equals 0 rightwards double arrow 6 straight x squared minus 3 straight x minus 2 straight x plus 1 equals 0 rightwards double arrow 3 straight x left parenthesis 2 straight x minus 1 right parenthesis minus left parenthesis 2 straight x minus 1 right parenthesis equals 0 rightwards double arrow left parenthesis 2 straight x minus 1 right parenthesis left parenthesis 3 straight x minus 1 right parenthesis equals 0 rightwards double arrow straight x equals 1 half space or space straight x equals 1 third rightwards double arrow cosecθ equals 1 half space space or space space cosecθ equals 1 third rightwards double arrow sinθ equals 2 space space or space space sinθ equals 3 But space we space know space that space minus 1 less or equal than sinθ less or equal than 1 So comma space there space does space not space exist space any space such space sinθ Hence comma space the space number space of space solutions space is space 0.
Answered by Renu Varma | 18 Mar, 2021, 08:19: PM

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