SOLUTION: a. if sin=-7/8,then the value of 1/cotA in the interval 3pi/2 <A<2<2pi. b.What is the exact value of sin 5pi/6 c.sketch the graph of y=cos 2x and y=-0.5 over the domain -pi<-x<-p

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: a. if sin=-7/8,then the value of 1/cotA in the interval 3pi/2 <A<2<2pi. b.What is the exact value of sin 5pi/6 c.sketch the graph of y=cos 2x and y=-0.5 over the domain -pi<-x<-p      Log On


   

Question 29894: a. if sin=-7/8,then the value of 1/cotA in the interval 3pi/2 b.What is the exact value of sin 5pi/6
c.sketch the graph of y=cos 2x and y=-0.5 over the domain -pi<-x<-pi.determine the exact values of x where these 2 graphs intersect.
d. draw a graph that represents a sine function in the form y=A sin B {x+C}+D or a cosine function in the form y=AcosB(x+C}+D. Write an equation of the graph in both forms
Answer by venugopalramana(3286) About Me  (Show Source):
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a. if sin=-7/8,then the value of 1/cotA in the interval 3pi/2 <2<2pi
SIN A = -7/8
COS A =SQRT(1-(SIN A)^2)=SQRT(1-49/64)=SQRT(15/64)=SQRT(15)/8
1/COT A = TAN A=SIN A/COS A=-(7/8)/(SQRT(15)/8)=-7/SQRT(15)...IN THE GIVEN RANGE TAN A IS NEGATIVE.
b.What is the exact value of sin 5pi/6
SIN 5PI/6=SIN (PI-PI/6)=SIN (PI/6)=1/2
c.sketch the graph of y=cos 2x and y=-0.5 over the domain -pi<-x<-pi.determine td,he exact values of x where these 2 graphs intersect.
+graph%28+600%2C+600%2C+-8%2C+8%2C+-2%2C+2%2C+cos%282%2Ax%29%2C+-0.5%29+
THE 2 GRAPHS INTERSECT AT X=PI-PI/3=2PI/3 AND PI+PI/3=4PI/3