Question
Asked Nov 19, 2019
24 views
Verify the identity
tan(x)
Cos(x)
csc(x) (1 sec(x))
1
1cos(x)
1cos(x)
tan(x)
cos(x)
tan(x)
1 - cos(x)
tan(x)(1cos(x))
=
sin(x)
cos(x)
1 +
sin2(x)
1cos(x)
1
=
sin(x)
= cSc(x)(1 + sec(x))
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Verify the identity tan(x) Cos(x) csc(x) (1 sec(x)) 1 1cos(x) 1cos(x) tan(x) cos(x) tan(x) 1 - cos(x) tan(x)(1cos(x)) = sin(x) cos(x) 1 + sin2(x) 1cos(x) 1 = sin(x) = cSc(x)(1 + sec(x))

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Expert Answer

Step 1

Given identity to be verified is

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tanx Cscx(1+secx) 1-cosx

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Step 2

Firstly, we multiply and divide L.H.S by 1+cosx

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tan x 1cosx tan.x(1+cos.x) 1 cos tanx 1 -cosx 1-cosx 1cosx

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Step 3

Now , we use identity ...

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sinx (1+cosx) tan x(1 cos.x) sin2 x 1+cosx tanx cosx sin2x 1-cosx tanx 1 sin x 1- cosx cosx

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