Question

if y sin A = 8 find the tan²a - Cot²B​

Answer 1

Answer:

SinA =y/8

then

cosec A =8/y

hence

cosec^2A =1+tan^2A

tan^2A =64/y^2-1

=64-y^2/y^2

tan^2A -cot^2A =tan^4A-1/tan^2A

={(64-y^2) ^2/y^4-1}/ 64-y^2/y^2

=(64-y^2-y^2) (64-y^2+y^2) /{(64-y^2)×y^2}

=(64-2y^2) ×64/(64-y^2) ×y^2

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