If cosec theta = 2x and cot theta = 2/x find the value of 2(x2-1/x2) - Maths - Some Applications of Trigonometry

Question

If cosec theta = 2x and cot theta = 2/x find the value of
2(x2-1/x2)

Ankita Agarwal · Accepted Answer

Dear Student,

cosecθ = 2xx = cosecθ2                     
1cotθ = 2x1x = cotθ2                         
2Squaring and subtracting equ2 by equ1, we getx2-1x2 = cosec2θ4-cot2θ4    x2-1x2 = 14cosec2θ-cot2θx2-1x2 = 14×1Multiplying by 2,2x2-1x2 = 12

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