The number of solutions of sin^(7)x + co...

The number of solutions of `sin^(7)x + cos^(7)x = 1, x in [0, 4pi]` is equal to

A

11

B

7

C

5

D

9

Text Solution

Verified by Experts

Topper's Solved these Questions

JEE MAINS 2021
JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION-B)|40 Videos
JEE MAINS 2021
JEE MAINS PREVIOUS YEAR|Exercise Mathematics Section A|40 Videos
JEE MAINS 2021
JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|30 Videos
JEE MAINS 2020
JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 Videos
JEE MAINS 2022
JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION - B)|10 Videos

Similar Questions

Explore conceptually related problems

The number of solution of sin^7x+cos^7x=1 , x in [0,4pi]

The number of solutions of sin^(4)x+cos^(4)x=sin x cos x in [0,2 pi] is/are

Total number of solutions of sin^(4)x+cos^(4)x=sinx*cosx in [0,2pi] is equal to

Find the total number of solution of sin^(4)x+cos^(4)x=sinxcosx" in "[0,2pi] is equal to

The total number of solutions of cos x= sqrt(1- sin 2x) in [0, 2pi] is equal to

The total number of solution of sin^(4)x+cos^(4) x= sin x cos x in [0, 2pi]

The number of solutions of the equation "sin" x = "cos" 3x "in" [0, pi] is

Find the number of solution of sin^(2)x cos^(2)x=1+cos^(2)x sin^(4)x in the interval [0,2 pi].

The number of solutions of the equation "sin x = |"cos" 3x| "in" [0, pi] , is

JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-MATHEMATICS (SECTION-A)

Let the circle S : 36x^(2) + 36y^(2) - 108 x + 120 y + C = 0 be such t...
Text Solution
|
If 'n' is the number of solution of z^2+3barz=0 where zinC then find s...
Text Solution
|
The number of solutions of sin^(7)x + cos^(7)x = 1, x in [0, 4pi] is e...
Text Solution
|
If the domain of the function f(x) = (cos^(-1)sqrt(x^(2) - x + 1))/(sq...
Text Solution
|
Let f : R rarr R be defined as f(x) = {{:((x^(3))/((1-cos 2x)^(2)) log...
Text Solution
|
Let a line L : 2x + y = k, k gt 0 be a tangent to the hyperbola x^(2) ...
Text Solution
|
If E1:x^2/a^2+y^2/b^2=1 , agtb . E2 is an ellipse which touches E1 at ...
Text Solution
|
The sum of all those terms which are rational numbers in the expansion...
Text Solution
|
The first of the two samples have 100 items with mean 15 and S.D.3. If...
Text Solution
|
Let f(x)={{:(int(0)^(x)(5+|1-t|)dt","," if "xgt 2),(5x+1","," if "x le...
Text Solution
|
Find the greatest value of the term independent of x in the expansion ...
Text Solution
|
Consider the statement "The match will be played only if the weather i...
Text Solution
|
Find the Value of cot pi/24
Text Solution
|
Which of the following value is just greater than [1+1/(10^100)]^(10^1...
Text Solution
|
The value of the integral overset(1)underset(-1)intlog(x+sqrt(x^(2)+...
Text Solution
|
Let a, b and c be distinct non-negative numbers. If vectos a hati +a h...
Text Solution
|
If [x] be the greatest integer less than or equal to x then sum(n=8...
Text Solution
|
The number of distinct real roots of |(sinx, cosx, cosx),(cos x,sin x,...
Text Solution
|
If | veca| = 2 |vecb|=5 and | veca xx vecb| = 8 , then | veca. vecb...
Text Solution
|
The number of real solutions of the equation, x^2 – |x| – 12 = 0 is:
Text Solution
|