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which of the following functions is the reciprocal of csc0?
a. cos0 b. sec0 c. sin0 d. tan0


Sagot :

the answer is (c)sin0

remember the following so you wont get confused

A) trig functions + reciprocal trig functions
[tex]sin x = \frac{1}{csc x}[/tex]                        [tex]csc x = \frac{1}{sin x}[/tex]
[tex]cos x = \frac{1}{sec x}[/tex]                       [tex]sec x = \frac{1}{cos x}[/tex]
[tex]tan x = \frac{1}{cot x}[/tex]                         [tex]cot x = \frac{1}{tan x}[/tex]

B) Quotient Identities
[tex]tan x = \frac{sin x}{cos x}[/tex]                    [tex]cot x = \frac{cos x}{sin x}[/tex]

C) Pythagorean Identities
[tex]sin^2 x + cos^2 x =1[/tex]
[tex]1 + tan^2 x = sec^x [/tex]
[tex]1 + cot^2 x = csc^2 x [/tex]


there are also half angle identities, etc. but those 3 above should be enough for now