Question

If csc theta = √5, then what is cot theta?

Answer 1

what is the reciprocal of csc ?

Answer 2

@Nnesha Sine

Answer 3

not just sin :=)
1/sin = csc
so csc = ?

Answer 4

In addition to sine, cosine, and tangent, there are three other trigonometric functions you need to know for the Math IIC: cosecant, secant, and cotangent. These functions are simply the reciprocals of sine, cosine, and tangent. Cotangent is the reciprocal of tangent.

Answer 5

@Nnesha so csc = 1/sine

Answer 6

yes right so if csc = sqrt{5} then sin = ???

Answer 7

remember thy are reciprocal of each other

Answer 8

@Nnesha then sin = 1/√5 = √5/5 ?

Answer 9

draw a triangle and label its opposite side 1 and its hypotenuse sqr(5)

Answer 10

hmm \[\csc = \frac{ \sqrt{5} }{ 1 } ~~~~~ \sin=\frac{ 1 }{ \sqrt{5} }\]
so draw right triangle for now it's okay leave the radical sign at the denominator \[\rm sin \rm \theta = \frac{ opposite }{ hypotenuse }~~~~ \cos \theta = \frac{ adjacent }{ hypotenuse } ~~\tan \theta = \frac{ opposite }{ adjacent }\]

Answer 11

@Nnesha so if sin theta = opp/hyp, and opp is 1 and hyp is √5, is it √5/5?

Answer 12

yes right sin = opp .hyp
apply the Pythagorean theorem to find 3rd side of right triangle