Find cot x if sin x cot x csc x = √2.
2 answers:
Answer:
The answer is (b) ⇒ cotx = √2
Step-by-step explanation:
∵ (sinx) (cotx) (cscx) = √2
∵ cotx = cosx/sinx
∵ cscx = 1/sinx
∴ (sinx)(cosx/sinx)(1/sinx) = √2
∴ cosx/sinx = √2
∴ cotx = √2
Answer:
Choice B is correct.
Step-by-step explanation:
We have given sin x cot x csc x = √2.
We have to find cot x?
As we know that,
cot x= cos x/sinx eq (1)
and csc x = 1/sinx eq(2)
Put the eq(1) and eq(2) in the given function we get,
sin x ( cos x/sinx )(1/sinx) = √2.
cosx /sinx = √2.
cot x = √2 is the answer.
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