Question

if cosx +secx=2 then cos^2x+sec^2x equal to what

Answer 1

cosx + secx =2


Now, cos²x+sec²x

= (cosx+secx)²-2cosx.secx

=2²-2

=4-2

=2


we know that cosx*secx=1

Answer 2

square on both sides
(cosx+secx)²=2²
cos²x+sec²x+2cosxsecx=4
cos²x+sec²x=4-cosxsecx

cos²x+sec²x=4-2cosx*1/cost
cos²x+sec²x=4-2
cos²x+sec²x=2
Therefore cos²x+sec²x=2
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