1.

6. If secA + tanA = m and secA - tanA = n, find the value ofStandard:- 10Content Quality Solution Required ❎ Don't Spamming ❎

Answer»

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SecA + TanA = M


And,


SecA - TanA = N




Therefore,



✓MN = ✓ ( SecA + TanA ) ( SecA - TanA )



=> ✓ ( Sec²A ) - ( Tan²A )



We know that,


Sec theta = 1/Cos theta


And,


TAN theta = Sin theta / Cos theta


So,


✓ ( Sec²A ) - ( Tan²A )



=> ✓1/Cos² A - Sin²A / Cos²A



=> ✓ ( 1 - Sin²A ) / Cos²A



=> ✓Cos²A/Cos²A



=> ✓1 = 1



Hence,



✓MN = 1



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