Asked by Kay
Establish the identity:
1. sin0(cot0 + tan0) = sec0
2. cos0 +1/cos0 -1 = 1 + sec0/1 - sec0
1. sin0(cot0 + tan0) = sec0
2. cos0 +1/cos0 -1 = 1 + sec0/1 - sec0
Answers
Answered by
drwls
1. sin x (cot x + tan x) =
sin x (cos x/sin x + sin x/cos x) =
cos x + (sin^2/cos x) =
[cos^2 x + sin^2 x]/cos x =
1/cos x
= sec x
You try the other one
sin x (cos x/sin x + sin x/cos x) =
cos x + (sin^2/cos x) =
[cos^2 x + sin^2 x]/cos x =
1/cos x
= sec x
You try the other one
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