Math, asked by belwalnavin61, 4 months ago

1 +cot square
(1 + cosec )
= cosec prove it

Answers

Answered by rakhibarnwal1987
0

Answer:

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Answered by BrainExerciser
1

Step-by-step explanation:

1+ \frac{cot^{2} Ф}{1+cosecФ} = cosec Ф\\

= 1+ \frac{cosec^{2} - 1} {cosec + 1}

we know the Trigonometric identity:

cot²A = cosec²A-1

= 1+ \frac{(cosec+1)(cosec-1)} {cosec+1}

By algebraic identity:

a²-b² = (a+b)(a-b)

= 1+cosec-1

= cosec

= RHS

HENCE PROVED ;)

#MarkBrainliest

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