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Can someone please help me verify each identity

Can someone please help me verify each identity-example-1
User Radarek
by
8.4k points

1 Answer

5 votes

Answer:

see explanation

Explanation:

combine the fractions on the left side into a single expression

I will use x instead of theta- I can't get it in the fraction


(sin^2x+(1+cosx)^2)/(sinx(1+cosx))

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

[ note that sin²x + cos²x = 1 ]

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

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

=
(2)/(sinx)

= 2cscx = right side ⇒ verified


User Superfly
by
7.7k points

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