"sec x + cosec x)(sin x + cos x) = 2 + sec x. cosec x
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Answer:
hey
Step-by-step explanation:
(sinx+cosx) (secx+cosecx)
(sinx+cosx) (1/cosx+1/sinx)
(sinx+cosx) (sinx+cosx/cosxsinx)
((sinx+cosx)^2/(cosxsinx)
(sin^2x+cos^2x+2sinxcosx/(cosxsinx)
1+2sinxcosx/(cosxsinx)
(1/cosxsinx+2sinxcosx/(cosxsinx)
=secx cosecx+2
2+secxcosecx=RHS
L.H.S=R.H.S
hope it helps
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