Question

If 3x=sec theta,3÷x tan theta ,then ( x×x_1÷x×x)is equal to

Answer 1

3x = sec∅ => x = secx/3

3/x = tan∅ => 1/x = tanx/3

then, (x² - 1)/x = x²/x - 1/x

= x - 1/x = (secx/3 - tanx/3)

= (secx - tanx)/3

hence, (x² - 1)/x = (sec - tanx)/3

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