Posted by Patti on Saturday, February 19, 2011 at 11:21pm.
s is in Q1 (sin>0, cos>0)
so
cos(s)=1/3,
sin(s)=+√(1-(1/3)²)
=√(8/9)
tan(s)=√(8/9) / (1/3)
=√8
t is in Q4 (sin<0, cos>0)
sin(t)=-1/2
cos(t)=+√(1-(1/2)²)
=√(3/4)
tan(t)=(-1/2)/√(3/4)
=-1/√3
[rationalize by multiplying numerator and denominator by √3]
=-(√3)/3
Use the identity
tan(s+t)=(tan(s)+tan(t))/(1-tan(s)tan(t)) to calculate tan(s+t)
I get about 0.85.
Related Questions
Trig - find the exact value of the expression using the provided information. ...
trig - find the exact value given that cosA=(1/3) in quad I, sin B=(-1/2) in ...
trig - find the exact value given that cosA=(1/3) in quad I, sin B=(-1/2) in ...
trig - find the exact value given that cosA=(1/3) in quad I, sin B=(-1/2) in ...
precal - use the given info. to find the exact value of the trig function. csc u...
Trig - 1. Establish the identity: sin(theta+3pi/2)=-cos(theta) 2. Find the exact...
MATH - 1.)Find the exact solution algebriacally, if possible: (PLEASE SHOW ALL ...
Math- Trig - 1. Determine the exact value of cos^-1 (pi/2). Give number and ...
Algebra II - Multiple Choice (theta) means the symbol 0 with the dash in it. 1.)...
Trig - find (s+t) given that cos s=1/3 with s in quad I and sin T=-1/2 with t in...
For Further Reading
