SOLUTION: If {{{tan(3x) tan (2x) = tan (pi/4)}}}, find the value of {{{sin(5x)}}}, given that {{{0 <= x <= pi/2}}}

Question 1105386: If , find the value of , given that
Answer by ikleyn(52890) (Show Source): You can put this solution on YOUR website!
.

If  tan(3x)*tan(2x) = ,   then

    tan(3x)*tan(2x) = 1.


It implies that  3x + 2x = ,   or

                 5x = .


Hence,  sin(5x) =  = 1.


Answer.  If  tan(3x)*tan(2x) = ,  then  sin(5x) = 1.

RELATED QUESTIONS
sin(x)=8/17 and pi/2 less than x less than pi. Find the exact value of... (answered by stanbon)

Find the exact value of sin((2x),cos(2x) given tan(x)=-9/40, -pi/2 < x < 0 Please... (answered by jsmallt9)

Find the exact value of the following under the given conditions. if tan(x)= -4/3... (answered by lwsshak3)

find tan of theat if sin of theata is 2/5 and... (answered by stanbon)

find all the solution of the equation in the interval (0,2pi) tan(x+pi)+2... (answered by lwsshak3)

if sin(theta)=5/6, theta in quadrant 2, find the exact value of tan... (answered by lwsshak3)

i must find the value of six trig function of pi/4 in radical form.thank you 1.sin pi/4 (answered by CharlesG2)

how do you find the exact value of tan theta when given that sin theta= 3/5 and pi/2 < or (answered by lwsshak3)

if sin x=3/5,pi/2 < x < pi, then find the value of cos x,tan x,sec x and cot... (answered by ikleyn)