Question

Find the six trigonometric functions of each of the following radians.
(a) θ=3π/2
(b) θ=5π/4
(c) θ=−π/3
Find the six trigonometric functions of each of the following radians.
(a) θ=3π/2
(b) θ=5π/4
(c) θ=−π/3
@Mathematics

Answer 1

yeah

Answer 2

\[\sin(\frac{3\pi}{2})=-1\]

Answer 3

all you have to do is use the unit circle

Answer 4

the six trigonometric functions we are to find is the sine,cosine,tagent,cosec,sec and cotangent

Answer 5

\[\cos(\frac{3\pi}{2})=0\]

Answer 6

\[\tan(\frac{3\pi}{2})=\frac{\sin(\frac{3\pi}{2})}{\cos(\frac{3\pi}{2})}=\frac{-1}{0} DNE\]

Answer 7

\[\cot(\frac{3\pi}{2})=\frac{\cos(\frac{3\pi}{2})}{\sin(\frac{3\pi}{2})}=\frac{0}{-1}=0\]

Answer 8

\[\csc(\frac{3\pi}{2})=\frac{1}{\sin(\frac{3\pi}{2})}=\frac{1}{-1}=-1\]

Answer 9

\[\sec(\frac{3\pi}{2})=\frac{1}{\cos(\frac{3\pi}{2})}=\frac{1}{0} DNE\]

Answer 10

i thought u will 1st find the cordinates that correspondes to each one on a unit circle,and then solve with it?

Answer 11

yep you need to find sine and cosine like i did above

Answer 12

all the other trig functions can either be written in terms of sine or cosine or sine and cosine

Answer 13

sine and cosine are given to you on the unit circle

Answer 14

pls teach me,how is it determined on the unit circle whether is root2/2 or -1 0r 0
is confusing to me

Answer 15

http://www.google.com/imgres?imgurl=http://www.mathsisfun.com/geometry/images/circle-unit-304560.gif&imgrefurl=http://www.mathsisfun.com/geometry/unit-circle.html&h=279&w=366&sz=13&tbnid=_6Om16JZLkXUaM:&tbnh=85&tbnw=112&prev=/search%3Fq%3Dunit%2Bcircle%26tbm%3Disch%26tbo%3Du&zoom=1&q=unit+circle&docid=dJkySTuOBEh4FM&sa=X&ei=qC3ATsbzB8nisQKGhqT1Aw&ved=0CDYQ9QEwAg&dur=960

Answer 16

the first coordinate is the cosine of the angle
the second coordinate is the sine of the angle

Answer 17

ok the important thing is finding the cosine and sine,tthen i can derive the rest using cosine and sine as their inverse?

Answer 18

inverse?

Answer 19

i mean reciprocal?

Answer 20

you can find csc(theta) by doing the reciprocal of sin(theta)
and toy can find sec(theta) by doing reciprocal of cos(theta)

Answer 21

yeah sorry i meant reciprocal,thanks

Answer 22

\[\tan(\theta)=\frac{\sin(\theta)}{\cos(\theta)}\]

Answer 23

\[\cot(\theta)=\frac{\cos(\theta)}{\sin(\theta)}\]

Answer 24

whats sine and cosine of 5pie/4 in unit circle?