Math, asked by Mo1011, 10 months ago

Prove that cosA × cot A÷ (1-sin A) = 1+cosec A

Answers

Answered by sprao53413
2

Answer:

Please see the attachment

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Answered by Anonymous
1

Step-by-step explanation:

(cosA * cotA/1 - sinA)    ----- (1)

Solve numerator part 1st and then denominator next.

Numerator :

cosA * cotA

=> cosA * (cosA/sinA)

=> cos²A/sinA

=> (1 - sin²A)/sinA

Place Value in (1), it will become

=> (1 - sin²A)/sinA(1 - sinA)

=> (1 - sinA)(1 + sinA)/sinA(1 - sinA)

=> 1 + sinA/sinA

=> (1/sinA) + (sinA/sinA)

=> cosecA + 1

#Hope my answer help you

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