Math, asked by nayansiniketa44, 9 days ago

Show that Cot A + Cosec A-1 / Cot A -CosecA + 1 = Cosec A + Cot A.
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Answers

Answered by Anonymous
0

Step-by-step explanation:

Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction: Dry friction is a force that opposes the relative lateral motion of two solid surfaces in contact.

Answered by binasarma8
0

Answer:

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\displaystyle \: \frac{CotA - 1 + CosecA}{CotA + 1 - CosecA}

CotA+1−CosecA

CotA−1+CosecA

= \displaystyle \: \frac{CotA + CosecA - 1}{CotA - CosecA + 1}=

CotA−CosecA+1

CotA+CosecA−1

= \displaystyle \: \frac{CotA + CosecA - ( {Cosec}^{2}A - {Cot}^{2}A) }{CotA + 1 - CosecA}=

CotA+1−CosecA

CotA+CosecA−(Cosec

2

A−Cot

2

A)

=\frac{(CotA + CosecA )-(CosecA + CotA )(CosecA - CotA ) }{CotA + 1 - CosecA}=

CotA+1−CosecA

(CotA+CosecA)−(CosecA+CotA)(CosecA−CotA)

= \frac{(CotA + CosecA )(CotA + 1 - CosecA)}{(CotA + 1 - CosecA)}=

(CotA+1−CosecA)

(CotA+CosecA)(CotA+1−CosecA)

= (CotA + CosecA)=(CotA+CosecA)

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