Question

uyu
show that
seco - tono = 1
See o hlar o​

Answer 1

Show that :

1

------------------------------------= sec theta -tan

sec theta + tan theta

Answer :

LHS:

1

------------------------------------

sec theta + tan theta

By taking conjugate ,

1

--------------------------------- × sec theta - tan theta

sec theta + tan theta --------------------------------

sec theta - tan theta

sec theta - tan theta

---------------------------------

sec square theta - tan square theta

[( a+b)(a-b)=a square- b square]

=sec theta - tan theta /1

=sec theta - tan theta = LHS

Hence proved....

IMPORTANT FORMULAE :

SIN square theta - COS square theta=1

1+ TAN square theta = SEC square theta

1+ COT square theta = COSEC square theta.

hope this Helps u