1) sec^2/cot x - tan^3 x = tan x
sec^2 x/cot x - tan^3 x = (1 + tan^2 x)/cot x - tan^3 x ....... sec^2 x = 1 + tan^2 x
= tan x(1 + tan^2 x) - tan^3 x ....... cot x = 1 / tan x
= tan x + tan^3 x - tan^3 x = tan x
2) 1+tan x/sin x - sec x = csc x
(1 + tan x) / sin x - sec x = 1/sin x + tan x/sin x - sec x
= 1/sin x + 1 / cos x - sec x ......... tan x = sin x/cos x
tan x / sin x = 1 / cos x
= 1/sin x + 1/cos x - 1/cos x .......... sec x = 1 / cos x
= 1/sin x = csc x
3) csc x/ sin x - cot x/tan x = 1
csc x/sin x - cot x/tan x = csc^2 x - cot ^2 x ......... sin x = 1/csc x; tan x = 1/cot x
= cot^2 x + 1 - cot^2 x ......... csc^2 x = 1 + cot^2 x
= 1
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1) 2 - sec^2 0 = 1 - tan^2 0 2) cos x + sin x tan x = sec x 3) tan^2 0+4 = sec^2 0+3
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