SOLUTION: Given that sinx=3/5 and it is in quadrant 1. Find sin2x and cos 2x and tan 2x

Algebra.Com
Question 1196984: Given that sinx=3/5 and it is in quadrant 1. Find sin2x and cos 2x and tan 2x
Answer by ikleyn(52884)   (Show Source): You can put this solution on YOUR website!
.
Given that sinx=3/5 and it is in quadrant 1. Find sin2x and cos 2x and tan 2x
~~~~~~~~~~~~~~~~


Step by step


(a)  If sin(x) = 3/5 and x is in QI, then

        cos(x) =  =  =  =  = 


     Now sin(2x) = 2*sin(x)*cos(x) =  = .    ANSWER


     Part (a) is complete.  From the answer, notice that 2x is in QI.



(b)  cos(2x) =  =  =  =  = .    ANSWER



(c)  tan(2x) =  =  =  =  = .    ANSWER

Solved.     All your questions are answered.



RELATED QUESTIONS

Given that sinx=3/5 and it is in quadrant 1. Find... (answered by Cromlix)
Find sin2x, cos 2x, and tan 2x if cos x= 1/sqrt 10 and x terminates in quadrant IV.... (answered by Alan3354)
Find sin (2x), cos (2x), and tan (2x) from the given information. tan (x) = 1/2 x... (answered by lwsshak3)
Given that cotx=3/5 and x is in quadrant 2, find sin2x,... (answered by ikleyn)
Find sin (2x), cos(2x), and tan(2x) from the given information. Write your answer as a... (answered by Alan3354)
Find sin(2x), cos(2x), and tan(2x) from the given information. cot(x) = 2/3, x in... (answered by Alan3354)
Given that cosx= -12/37 and x is in Quadrant 3, determine sin2x, cos2x, and tan2x. Which... (answered by lwsshak3)
Find sin 2x, cos 2x, and tan 2x from the given information. sec x = 8, x in Quadrant... (answered by tommyt3rd)
Find sin 2x, cos 2x, and tan 2x from the given information. sec x = 4, x in Quadrant... (answered by Theo)