Question
Asked Nov 3, 2019
Q1:- Find the domain of the following functions
tanx
a) f(x)
sinx-1
b) f(x) tan-(vInx)
c) f(x) sin-(2 3x)
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Q1:- Find the domain of the following functions tanx a) f(x) sinx-1 b) f(x) tan-(vInx) c) f(x) sin-(2 3x)

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Expert Answer

Step 1

Find the domain of the function

tan x
a)f(x)
sin x -1
b)f (x)= tanVlnx
c)f (x) sin(2-3x)
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tan x a)f(x) sin x -1 b)f (x)= tanVlnx c)f (x) sin(2-3x)

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Step 2

The Domain of a function is the set of input or argument values for which the function is real and  defined

tanx
Take the denominators of
and compare to zero
sin x-
sin(x)-1-0
sin(x)+1-0+1
sin(x)-1
+2xn
cos(x)-0
Зя
+27n
22
The follow ing point s are undefined
Зя
.+ 2лп,х - + 2л п
tan x
-: 27
sin x-1
Pertodic ity of
Combine period:2na sx27 +2n and undefine d point s
The domain
2яп <х <+2яп or
+2Tnx<
2
+ 2ли от
2
Зя
+27n < x < 27 + 2an
2
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tanx Take the denominators of and compare to zero sin x- sin(x)-1-0 sin(x)+1-0+1 sin(x)-1 +2xn cos(x)-0 Зя +27n 22 The follow ing point s are undefined Зя .+ 2лп,х - + 2л п tan x -: 27 sin x-1 Pertodic ity of Combine period:2na sx27 +2n and undefine d point s The domain 2яп <х <+2яп or +2Tnx< 2 + 2ли от 2 Зя +27n < x < 27 + 2an 2

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Step 3

The Domain of a function is the set of input or argument values for which the function i...

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Tagged in

Math

Trigonometry