If x= 3sec²θ - 1 and y = 3 tan²θ - 2 where θ is an acute angle, then the value of x-y is
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hiii.... Ashish here Ur answer I hope this is helpful for you
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according to question :
x - y :
3sec^2theta - 3tan^2theta
taking 3 common,
3 (sec^2theta + tan^2theta)
now, we know the identity :
sec^2 theta = 1 + tan^2 theta
= 3 (1 + tan^2theta + tan^2theta)
= 3 ( 1 + 2tan^2theta)
now, place the value of any acute angle in the above equation,
you'll get your answer......
hope it helps:)
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