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prove the (1+cosx/sinx)+(sinx/1+cosx) = 2cscx 0 votes

proving only , no simplifying

trigonometric-identitiesaskedNov 30, 2013in TRIGONOMETRYby angel12Scholar


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you re welcome log in or register to include a comment. you re welcome log in or it is registered to price this question. 1 answer 0 votes

Left hand side identity = (1+cosx/sinx)+(sinx/1+cosx)

= <(1+cosx)^2+sn^2x>/sinx(1+cosx)

= <1+cos^2x+2cosx+sin^2x>/sinx(1+cosx)

= <1+1+2cosx>/sinx(1+cosx)

= (2+2cosx)/sinx(1+cosx)

= 2(1+cosx)/sinx(1+cosx)

= 2/sinx

= 2cscx

= best hand next identity.

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