find the general solution of the eqquation4cos(x) +3 Sin (x)=5
Nina Ann Stephen , 10 Years ago
Grade 11
Trigonometry> find the general solution of the eqquatio...
1 Answers
Y RAJYALAKSHMI
Last Activity: 10 Years ago
4(1 – 2sin2x/2) + 3(2sinx/2* cosx/2) – 5 = 0
4 – 8 sin2x/2 + 6sinx/2 cosx/2 – 5 = 0
– 8 sin2x/2 + 6sinx/2 cosx/2 – 1 = 0
– 8 sin2x/2 + 6sinx/2 cosx/2 – (sin2x/2 + cos2x/2) = 0
– 9 sin2x/2 + 6sinx/2 cosx/2 – cos2x/2 = 0
(3 sinx/2 – cosx/2)2 = 0
3 sinx/2 – cosx/2 = 0 => 3 sinx/2 = cosx/2 => 3 (sinx/2) / (cosx/2) = 1 => 3 tan x/2 = 1
=> tanx/2 = 1/3
=> x/2 = tan –1 1/3
Gen Solution x/2 = nπ + tan –1 1/3 = > x = 2nπ + 2tan –1 1/3
Ans: x = 2nπ + 2tan –1 1/3
Provide a better Answer & Earn Cool Goodies
Enter text here...
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free
Enter text here...
Other Related Questions on trigonometry
In ABC, if cot A+cot B+cot C = cosecA cosecB cosecC, then prove that ABC is right angle triangle.
trigonometry
1 Answer Available
Last Activity: 2 Years ago
Find the general solution of equation tan3∂=cot2∂For all angles between -720 and +720
trigonometry
0 Answer Available
Last Activity: 2 Years ago
To prove : Cosec(45 degree - A)Cosec(45 degree + A) = 2SecA
trigonometry
0 Answer Available
Last Activity: 2 Years ago
cos^2 13ºcos^2 47º+cos^2 73º =? …..................
trigonometry
0 Answer Available
Last Activity: 2 Years ago
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
trigonometry
0 Answer Available
Last Activity: 2 Years ago