period of f(x)=sin4x+cos4x is???????????????????????????
period of f(x)=sin4x+cos4x is???????????????????????????
alekhya , 9 Years ago
Grade 12th pass
Trigonometry> period of f(x)=sin 4 x+cos 4 x is????????...
2 AnswersP srivadhan
The period of sin4x is 2π
The period of cos4x is 2π
The period of sinnx is 2π
The period of cosnx is 2π
If f(x) = g(x) +h(x) then the period of f(x) is the LCM of periods of g(x) and h(x)
So , The period of f(x)=sin4x+cos4x is LCM of 2π and 2π i.e…. 2π.
Answer : 2π.
Thank you.
Gopal Gopakumar
This equation can be written as (sin2x + cos2x )2 – 2sin2xcos2x
which is 1 – 2sin2xcos2x..... multiplying and dividing with 4 gives,
(4 – 8sin2xcos2x)/4 which using sin2@ identity can be written as
(4 – 2sin22x)/4 = (3 + 1 – 2sin22x)/4
which by cos2@ identity gives,
(3 + cos4x)/4 and hence is the simplified equation.
period od cos(n)x = 2pi/n
so period of cos4x = pi/2
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
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.
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: 3 Years ago
- Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
- Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
trigonometry
1 Answer Available
Last Activity: 3 Years ago
To prove : Cosec(45 degree - A)Cosec(45 degree + A) = 2SecA
To prove : Cosec(45 degree - A)Cosec(45 degree + A) = 2SecA
trigonometry
1 Answer Available
Last Activity: 3 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)
Derive a formula for the area of the triangle, given b, A, B, and C. That is, derive the formula: (b^2sinAsinC)/(2sinB)
trigonometry
1 Answer Available
Last Activity: 3 Years ago
WHAT IS THE LIMIT WHEN X TOWARDS TO 0 OF sin6x/5x ? lim𝑥→0 𝑠𝑖𝑛6𝑥/5𝑥
WHAT IS THE LIMIT WHEN X TOWARDS TO 0 OF sin6x/5x ? lim𝑥→0 𝑠𝑖𝑛6𝑥/5𝑥
trigonometry
1 Answer Available
Last Activity: 3 Years ago