Question

cos²A/sinA +sinA = cosecA​

Answer 1

Answer:

Step-by-step explanation:

(sin A - cos A)/(sin A + cos A) + (sin A + cos A)/(sin A - cos A)  

( sin A - cos A ) ² + ( sin A + cos A ) ²  

---------------------------------------...  

( sin A + cos A ) ( sin A - cos A )  

sin²A - 2sinA cosA + cos²A + sin²A + 2 sinAcosA + cos²A  

---------------------------------------...  

( sin A + cos A ) ( sin A - cos A )  

2  

-------------------  

sin ² A - cos ² A  

2  

------------------  

2 sin ² A - 1

Answer 2

Answer:

cos²A/sinA + sinA

(cos²A+sin²A)/sinA

we know that sin²A+cos²A=1

therefore

1/sinA

cosecA

hence proved

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