Question

If cosec A= 2x & cot A=21x, then 1
the value of 2 {(x+1/x)(x-1/x)} is​

Answer 1

Given: cosec theta =2x and cot there=2/x

cosec theta = 2x. cot theta =2/x

squaring both sides. squaring both side

cosec² theta =4x². cot² theta =4/x²

cosec² theta - cot² theta =1

4x²-4/xx=1

4(x²-1/x²) =1

2(x²-1/x²) =1/2

hence proved

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