(sin x + cos x) (sec x + cosec x) = 2 + sec x cosec x
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Answer:
lhs=rhs
Step-by-step explanation:
LHS
(sinx+cosx)(1/cosx+1/sinx)
(sinx+cosx)(sinx+cosx)/sinx.cosx
(sinx+cosx)^2/sinx.cosx
RHS
2+1/cosx+1/sinx
(2sinx.cosx+sin^2x+cos^2x)/sinx.cosx
(sin+cos)^2/sinx.cosx
LHS=RHS
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