If sec theta -tan theta = root 2 tan theta ,show that sec theta + tan theta =root 2 sec theta
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Sec theta - tan theta =√2 tan theta
Sec theta=√2 tan theta + tan theta
Sec theta =(√2+1)tan theta
Now rationalise
Sec theta =tan theta (√2+1)×(√2-1)/(√2-1)
Sec theta (√2-1)= tan theta
√2 sec theta - sec theta= tan theta
Sec theta + tan theta= √2 sec theta
proved....
Sec theta - tan theta =√2 tan theta
Sec theta=√2 tan theta + tan theta
Sec theta =(√2+1)tan theta
Now rationalise
Sec theta =tan theta (√2+1)×(√2-1)/(√2-1)
Sec theta (√2-1)= tan theta
√2 sec theta - sec theta= tan theta
Sec theta + tan theta= √2 sec theta
proved....
simar21:
thnx a lot
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Step-by-step explanation:
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