Question

(4) If cot x=-1/5,find the value of sin x and cos x .
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Answer 1

Step-by-step explanation:

As cotx is - ve, it must be either in 2nd quadrant or in 4th quadrant.

  If, it is in 2nd: only sine is +ve.

cotx = -1/5    ⇒ let base and height be 1 and 5.

 Using Pythagoras theorem, hypotenuse = √26

Hence, sinx = 5/√26  and cosx = - 1/√26

 If it is in 4th: only cosine is +ve.

Hence, cosx = 1/√26 and sinx = - 5/√26