Question

pre-calc. no calculator.

Answer 1

what are the periods of the sine, cotangent, and cosecant?

Answer 2

period means the angle after which the value returns to the same

Answer 3

otayyyyy....

Answer 4

so see..when sine moves through and angle of 2pi, the value will return to the same

Answer 5

O_O mhmm...

Answer 6

ftw.

Answer 7

sin and cosec values repeat after every 2pi radians angle.
like \(\sin x = \sin (x+2\pi)= \sin (x+2*2\pi)=....\)
in general, \(\sin x= \sin (x \pm n* 2\pi)\)
hence period of sin is 2pi, (same for cosec)
know about cotangent ?

Answer 8

the inverse of tangent.

Answer 9

tan and cot values repeat after every pi radians angle.
like \(\cot x=\cot(x+π)=\cot(x+2∗π)=....\)
in general, \(cot x=cot(x±n∗π)\)
hence period of cot is pi, (same for tan)

Answer 10

mmk. so what am i doing here though?

Answer 11

you are finding the periods of the sine, cotangent, and cosecant

Answer 12

yes but that doesn't help me know what i am doing.

Answer 13

finding the period means finding after how much rotation in angle the ratio comes out to be same everytime,
for sin and cosec we found it to be 2pi, for cot, its pi

Answer 14

so that is the answer just 2pi and pi?

Answer 15

yes, include units
2pi radians
pi radians
2pi radians

Answer 16

so for cosine, tangent and secant?

Answer 17

sine, cosine , secant and cosecant have period of 2pi
only tan and cot have period of pi

Answer 18

alrighty. thank you.

Answer 19

welcome ^_^