Question

The product of sinA x cotA is
​

Answer 1

cosA

Explanation:

Using the identity

cotA =
`(cosA)/(sinA)` , then

sinA × cotA

= sinA ×
`(cosA)/(sinA)` ( cancel sinA )

= cosA

Answer 2

Answer: cos(A)

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Work Shown:

sin(A)*cot(A)

sin(A)*( cos(A)/sin(A) )

cos(A)

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Basically I replaced cot(A) with cos(A)/sin(A). Then the sin(A) terms canceled out leaving cos(A) behind.