HELPP!! Simplify sin q + cosq cotq

option d is correct

Step-by-step explanation:

answer is cosec q

csc(q)

Step-by-step explanation:

You could plug in values for q for the problem and the choices and see which choice gives the same outputs. Of course, that would mean you need to know that cot() is cos()/sin() or 1/tan() and csc()=1/sin()

So anyways you can also use identities to rewrite the given expression

sin(q)+cos(q)cot(q) [given ]

sin(q)+cos(q)cos(q)/sin(q) by quotient identity

sin(q)+cos^2(q)/sin(q) [simplify]

sin(q)sin(q)/sin(q)+cos^2(q)/sin(q) multiply first term by 1

sin^2(q)/sin(q)+cos^2(q)/sin(q) [simplify ]

(sin^2(q)+cos^2(q))/sin(q) [combined fractions ]

1/sin(q) by Pythagorean identity

csc(q) by reciprocal identity

goog may have it for you

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step-by-step explanation: