SOLUTION: Find the values of the trigonometric functions of "theta" from the given information. sin(theta)=3/5, t in quadrant II. (Hint: You will need one of the Pythagorean Identities).

Algebra ->  Trigonometry-basics -> SOLUTION: Find the values of the trigonometric functions of "theta" from the given information. sin(theta)=3/5, t in quadrant II. (Hint: You will need one of the Pythagorean Identities).       Log On


   

Question 149972: Find the values of the trigonometric functions of "theta" from the given information.
sin(theta)=3/5, t in quadrant II. (Hint: You will need one of the Pythagorean Identities).
Cos(theta)=?
Tan(theta)=?
Sec(theta)=?
Csc(theta)=?
Cot(theta)=?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
SIN=3%2F5
Pythagorean identities
SIN=OPP%2FHYP
COS=ADJ%2FHYP
OPP%5E2%2BADJ%5E2=HYP%5E2
OPP%5E2%2FHYP%5E2%2BADJ%5E2%2FHYP%5E2=1
SIN%5E2%2BCOS%5E2=1
%283%2F5%29%5E2%2BCOS%5E2=1
%289%2F25%29%2BCOS%5E2=1
COS%5E2=25%2F25-9%2F25
COS%5E2=16%2F25
COS=4%2F5 or COS=-4%2F5
Since it's in the second quadrant, the cosine is negative.
COS=-4%2F5
.
.
.
TAN=SIN%2FCOS
TAN=%283%2F5%29%2F%28-4%2F5%29
TAN=-3%2F4
.
.
.
SEC=1%2FCOS
SEC=-5%2F4
.
.
.
CSC=1%2FSIN
CSC=5%2F3.
.
.
COT=1%2FTAN
COT=-4%2F3