The function f(x)=sin^4x+cos^4x/x+x^2tanx a)even b)odd c)periodic with period pi )periodic with period 2pi

JEE Class main Answered

The function f(x)=sin^4x+cos^4x/x+x^2tanx a)even b)odd c)periodic with period pi )periodic with period 2pi

Asked by g_archanasharma | 08 Apr, 2019, 05:15: AM

Expert Answer

begin mathsize 16px style straight f left parenthesis straight x right parenthesis equals fraction numerator sin to the power of 4 straight x plus cos to the power of 4 straight x over denominator straight x plus straight x squared tanx end fraction Consider comma space straight f left parenthesis negative straight x right parenthesis equals fraction numerator sin to the power of 4 straight x plus cos to the power of 4 straight x over denominator negative straight x minus straight x squared tanx end fraction straight f left parenthesis negative straight x right parenthesis equals fraction numerator sin to the power of 4 straight x plus cos to the power of 4 straight x over denominator negative open parentheses straight x plus straight x squared tanx close parentheses end fraction straight f left parenthesis negative straight x right parenthesis equals minus straight f left parenthesis straight x right parenthesis Hence comma space it space is space odd space function. end style

Answered by Sneha shidid | 08 Apr, 2019, 10:51: AM

Answered Unanswered My Questions My Answers

JEE main - Maths

find

Asked by komuravellysravanthi4 | 26 Apr, 2024, 02:14: PM

ANSWERED BY EXPERT

JEE main - Maths

sin-1(sin5π/3)

Asked by nirmalraulji5 | 18 Apr, 2024, 09:03: PM

ANSWERED BY EXPERT

JEE main - Maths

Question no 2.

Asked by rohanraj999v | 25 Mar, 2024, 06:38: PM

ANSWERED BY EXPERT

JEE main - Maths

let f:[0,10] to [1,20] be a function defined as f(x)= 60-5x/3,0≤x≤6 10, 6≤x≤7 then f is 31-3x, 7≤x≤10

Asked by msriramulu508 | 15 Mar, 2024, 08:50: AM

ANSWERED BY EXPERT

JEE main - Maths

state the sign of the expression x2-5x+6

Asked by sushmaakhila55 | 07 Mar, 2024, 06:00: AM

ANSWERED BY EXPERT

JEE main - Maths

given f:AtoR is defined as f(x)= x³+1, where A={1,2,-1,-2,0}. Then range of f IS

Asked by budiga1949 | 07 Feb, 2024, 07:34: PM

ANSWERED BY EXPERT

JEE main - Maths

what is the answer

Asked by banumurthy2007 | 07 Jan, 2024, 07:58: PM

ANSWERED BY EXPERT

JEE main - Maths

19. If f(x)=x+c,f(0)=/(0)=1 then /(2)=

Asked by masrulmallick014 | 25 Dec, 2023, 10:41: PM

ANSWERED BY EXPERT

JEE main - Maths

rang of quadratic expression y=x^2+6x-4 and x belong to (-4,3)

Asked by maheshv9090 | 16 Oct, 2023, 09:30: PM

ANSWERED BY EXPERT

JEE main - Maths

Q) Find the range of f(x) = x + 1/x Ans) See the image which I have uploaded.. I have just broken the eqn into √x² + 1/√x² +2 -2 ..and have formed the identity (a+b)² and the range is coming (-∞, 2 ] U [ -2, ∞ ) which is wrong.. the correct range is coming from (a-b)² which is (-∞, -2 ] U [ 2, ∞ ). My Doubt- Why (a+b)² is not giving the correct range? Request- Please send the solution using (a+b)². I've attached an image and let me know if I'm wrong somewhere or why the correct solution isn't coming by using (a+b)². Thanks, Samit Future Top 50 ranker in JEE ADVANCE

Asked by samithatty | 01 Dec, 2022, 10:32: PM

ANSWERED BY EXPERT

Please Login or Sign up to continue!

JEE Class main Answered

Choose Filters

Open In Ask A Doubt App ?

Get in Touch

Call / Whats App