Question
Asked Dec 11, 2019
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sin x
1-cos x
96.
csc2 x
a) 1+ sin?x cosx
b) sec?x
c)
d)
sin? x
1+cos? x
e) sec x + cot x
%3D
Cosx
1+cos x
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sin x 1-cos x 96. csc2 x a) 1+ sin?x cosx b) sec?x c) d) sin? x 1+cos? x e) sec x + cot x %3D Cosx 1+cos x

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Expert Answer

Step 1

Given:

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1- cos.x csc².

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Step 2

Expand the given trigono...

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1- cos.x csc x multiply in numerator and denominator by (1+cos.x), 1- cos.x_ (1-cos.x)(1+cosx) csc²x csc x(1+ cos.x) 1-cos x [:(a+b)(a-b)=a° - °] csc? x (1+ cos.x) sin? x [:1-cos" x = sin x] csc x(1+cos.x) sin'x- sin?x (1+cos.x) sin² x csc x sin“ x (1+cosx)

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MathTrigonometry

Trigonometric Ratios

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