1800-150-456-789
FlagBACK
Flag Trigonometry> minimum value of cos(cosx) is what , with...
question mark

minimum value of cos(cosx) is what , with explanation

Rohit Roychoudhury , 9 Years ago
Grade 11
anser 2 Answers
Jayakrishna Natarajan

Last Activity: 9 Years ago

let y=cos(cosx)
dy/dx= sin(cosx)*sinx... dy/dx=0 @ x=2n(pi) or 2m+1(pi/2)
substituting this value for y..
y=cos1 or y=1
therefore range of y is [cos1,1]

jagdish singh singh

Last Activity: 9 Years ago

\hspace{-0.6 cm}$ Let $f(x)=\cos (\cos x)\;\forall x\in \mathbb{R}.$ Using $-1 \leq \cos x\leq 1$\\\\ So $ \cos 1 \leq \cos (\cos x)\leq 1.,$ Bcz $\cos x$ is an Decreasing function \\\\So above we have reverse Inequality and it is also an even function.\\\\So its value is same at two end points $\bf{i.e \; \cos(-1) = \cos (1)}$\\\\and Max. of $\cos$ is $\bf{1}.$ So $f(x)=\cos(\cos x)\in \left[\cos 1\;, 1\right].$

Provide a better Answer & Earn Cool Goodies

star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Other Related Questions on trigonometry

question mark
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

question mark
  • Find the general solution of equation tan3∂=cot2∂
For all angles between -720 and +720
trigonometry
0 Answer Available

Last Activity: 3 Years ago

question mark
To prove : Cosec(45 degree - A)Cosec(45 degree + A) = 2SecA
trigonometry
0 Answer Available

Last Activity: 3 Years ago

question mark
cos^2 13ºcos^2 47º+cos^2 73º =? …..................
trigonometry
0 Answer Available

Last Activity: 3 Years ago

question mark
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: 3 Years ago