The number of real solutions of the equa...

The number of real solutions of the equation : `cos^(7)x + sin^(4)x = 1` in the interval `[-pi,pi]` is :

A

0

B

`pi`

C

`-pi`

D

None of these.

Text Solution

Verified by Experts

The correct Answer is:

A

Promotional Banner

Promotional Banner

Topper's Solved these Questions

TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS
MODERN PUBLICATION|Exercise LATEST QUSTIONS FROM AIEEE/JEE EXAMINATIONS|8 Videos
TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS
MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos
TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS
MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|12 Videos
THREE DIMENSIONAL GEOMETRY
MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|10 Videos
UNIT TEST PAPER NO - 4
MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|25 Videos

Similar Questions

Explore conceptually related problems

The number of real solutions of the equation 1-x = [cosx] is

Find the number of real solution of the equation (cos x)^(5)+(sin x)^(3)=1 in the interval [0, 2pi]

The number of solutions for the equation sin2x+cos 4x=2 is

The number of solutions of the equation 16(sin^(5)x +cos^(5)x)=11(sin x + cos x) in the interval [0,2pi] is

Let p,qin N and q gt p , the number of solutions of the equation q|sin theta |=p|cos theta| in the interval [0,2pi] is

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

The number of real solution of the equation sqrt(1 + cos 2x) = sqrt2 sin^(-1) (sin x), -pi le x le pi , is

Number of solutions of the equation 2 sin^3x + 6 sin^2x -sin x-3=0 in (0, 2pi), are

Number of solutions of the equation sin^(4) x-cos^(2)x sin x + 2 sin^(2) x+sin x=0 in 0 le x le 3pi is ________.

Solution of equation cot^(-1) x + sin^(-1) . 1/sqrt5 = pi/4 is

MODERN PUBLICATION-TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS-MULTIPLE CHOICE QUESTION(LEVEL-II)

If (2sinalpha)/(1+cosalpha +sinalpha)=y , then prove that (1-cosalph...
Text Solution
|
If alpha, beta, gamma and delta be four angles of a cyclic qardrilater...
Text Solution
|
The number of real solutions of the equation : cos^(7)x + sin^(4)x = 1...
Text Solution
|
If x = alpha,beta satisfy both the equations cos^(2)x + acosx + b = 0 ...
Text Solution
|
If 0 lt=a lt=3,0 lt=b lt=3 and the equation : x^(2) + 4 + 3cos(ax + b)...
Text Solution
|
The equation p cos x - q sinx = r admits of a solution for x only if :
Text Solution
|
The equation kcosx - 3sinx + k +1 is solvable only if k belongs to the...
Text Solution
|
If sin^(2)theta - 2 sin theta - 1 = 0 is to be satisfied for exactly 4...
Text Solution
|
The number of values of x in [0,4pi] satisfying |sqrt(3cosx - sinx )| ...
Text Solution
|
If alpha,beta are roots of the equation 6x^(2) + 11x + 3 = 0 then :
Text Solution
|
If sinx + sin^(2)x + sin^(3)x = 1, then : cos^(6)x - 4cos^(4)x + 8cos^...
Text Solution
|
If P(n) = cos ^(n)theta + sin^(n)theta then 2. P(6) - 3. P(4) + 1 =
Text Solution
|
The equation a "sin" x+b "cos" x = c, " where"|c| gt sqrt(a^(2) + b^(2...
Text Solution
|
If the mapping f(x)=ax+b,a lt0 and maps [-1, 1] onto [0, 2] , then for...
Text Solution
|
If f(x)=sin^(2)x+sin^(2)(x+pi//3)+cosxcos(x+pi//3) and g(5//4)=1 then ...
Text Solution
|
if A, B, C are acute positive angles, then : ((sinA + sinB)(sinA + sin...
Text Solution
|
If tan(picos theta) = cot(pisin theta), then cos(theta - pi/4) is :
Text Solution
|
If (sec^4theta)/a+(tan^4theta)/b=1/(a+b), then prove that |b|lt=|a| .
Text Solution
|
The value of the determinant : |(sin^(2)13^(@)""sin^(2)77^(@)""tan135^...
Text Solution
|
If t a nalpha,t a nbeta,t a ngamma are the roots of the equation x^3-p...
Text Solution
|