PreCalculus
posted by Kimberly .
Evaluate the expression under the given conditions.? show work please!
sin(AB); tan A=12/5, A in quadrant 3, sinB=3sqrt(10)/10, B in quadrant 4.

Construct 2 triangles,
one in quad III for angle A with sides x=5, y = 12 and r = 13
another in quad IV for angle B with sides x = √10 , y = 3√10 and r = 10
then sinA = 12/13, cosA = 5/13
sinB = 3√10/10 , cosB = √10/10
sin(AB) = sinAcosB  cosAsinB
= (12/13)(√10/10)  (5/13)(3√10/10)
= (12√3  15√10)/130
= 27√10/130
Respond to this Question
Similar Questions

precalculus
Write the first expression in terms of the second if the terminal point determined by the t is in the given quadrant: sin t, cos t; quadrant 2 
PreCalc help NOW PLEASE!!!
Evaluate the expression under the given conditions. tan(A+B); cosA=1/7, A in quadrant 3, sinB=1/2, B in quadrant 2. 
PreCalc Help!!!!!!!!
Evaluate the expression under the given conditions. sin (A+B); tan A= 12/5, A in quadrant 3, sin B= 3sqrt(10)/10, B in quadrant 4. 
PreCalc Help
Evaluate the expression under the given conditions. (show work please) sin(AB); tan A=12/5, A in quadrant 3, sinB=3sqrt(10)/10, B in quadrant 4. 
precalc helpppp
Evaluate the expression under the given conditions (show steps please) sin(è/2); tan è = − 5 / 12 , è in Quadrant IV 
PreCalculus
Given Tan(A) = 5 in Quadrant III and Sin(B) = ⅔ in Quadrant II, find Cos(AB). 
Pre calc
evaluate the expression under the given conditions. cos(θ − ϕ); cos(θ) = 5/13, θ in Quadrant IV, tan(ϕ) = − square root15,ϕ in Quadrant II Anyone know how to do this I have never been this confused in my life 
Pre calc
sin(θ − ϕ); tan(θ) = 5/12 , θ in Quadrant III, sin(ϕ) = − square root 10 over 10 ϕ in Quadrant IV Please help last one 
Pre calc
sin(θ − ϕ); tan(θ) = 5/12 θ in Quadrant III, sin(ϕ) = − sqaure root 10/10 ϕ in Quadrant IV I tried this numerous times can somone please help me 
Pre calc
Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = 5/13, x in Quadrant I sin(2x)?