f(theta)=sin^4theta+cos^2theta then rang...

`f(theta)=sin^4theta+cos^2theta` then range of `f(theta)`

`1//2`

none of these

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

TRIGNOMETRIC RATIOS & IDENTITIES
MOTION|Exercise Exercise -2(Level -II)|12 Videos
TRIGNOMETRIC RATIOS & IDENTITIES
MOTION|Exercise Exercise -3|39 Videos
TRIGNOMETRIC RATIOS & IDENTITIES
MOTION|Exercise Exercise 1|47 Videos
THREE DIMENSIONAL GEOMETRY (3 -D)
MOTION|Exercise SOLVED EXAMPLE|33 Videos
TRIGONOMETRIC EQUATION
MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

f(theta)=sin^(4)theta+cos^(2)theta then range of f(theta)

f(theta)=sin^(2)theta+cos^(2)theta+tan^(2)theta+sec^(2)theta+csc^(2)theta+cot^(2)theta then the minimum value of f(theta) is

Given that f(n theta)=(2sin2 theta)/(cos2 theta-cos4n theta), and f(theta)+f(2 theta)+f(3 theta)+...+f(n theta)=(sin lambda theta)/(sin theta sin mu theta) then the value of mu-lambda is

Consider f(theta)=|[sin theta,cos theta,sin theta],[cos theta,sin theta,cos theta],[cos theta,sin theta,sin theta]| then A) f(theta)=0 has exactly 2 real solutions in [0,pi] B) f(theta)=0 has exactly 3 real solutions in [0,pi] C) Range of function (f(theta))/(1-sin2 theta) is [-sqrt(2),sqrt(2)] D) Range of function (f(theta))/(sin2 theta-1) is [-3,3]

Let f_(n)(theta)=(sin theta+sin2 theta+sin3 theta++sin n theta)/(cos theta+cos2 theta+cos3 theta++cos n theta)

If f(theta)=|(cos^(2)theta ,cos theta sin theta, -sin theta),(cos theta sin theta, sin^(2)theta,cos theta),(sin theta,-cos theta,0)| then, f((pi)/(6))+f((pi)/(3))+f((pi)/(2))+f((2pi)/(3))+f((5pi)/(6))+f(pi)+……+f((53pi)/(6)) is equal to

If f(x)=2sin^(2)theta+4cos(x+theta)sin x*sin theta+cos(2x+2 theta) then value of f^(2)(x)+f^(2)((pi)/(4)-x) is

If u=-f''(theta)sin theta+f'(theta)cos theta and v=f''(theta)cos theta+f'(theta)sin theta, then int(d(u)/(d theta))^(2)+((dy)/(d theta))^(2)]^((1)/(2))d theta is equal to

If f(theta)=|sin theta|+|cos theta|,theta in R, then

MOTION-TRIGNOMETRIC RATIOS & IDENTITIES -Exercise 2(Level -I)

The value of (1-tan^2 1 5^(@))/(1+tan^2 1 5^(@)) is
Text Solution
|
IF tan^2 theta=2 tan^2 phi +1 then find the value of cos 2 theta+sin^2...
Text Solution
|
If alpha in [(pi)/(2),pi] then the value of sqrt(1+ sin alpha)-sqrt(...
Text Solution
|
sqrt(2+sqrt(2+2cos 4 theta)), forall 0 lt theta lt pi//4 is
Text Solution
|
The value of tan (pi/16)+2tan(pi/8)+4 is equal to
Text Solution
|
If A=tan6^(@) tan 42^(@) and B= cot 66^(@)cot 78^(@) then-
Text Solution
|
The value of 64sqrt(3)sin(pi/48)cos(pi/48)cos(pi/24)cos(pi/12)cos(pi/6...
Text Solution
|
Let a and b be positive number not equal to 1 and (3pi)/(2) lt theta ...
Text Solution
|
f(theta)=sin^4theta+cos^2theta then range of f(theta)
Text Solution
|
The value of cos(pi/19)+cos((3pi)/19)+cos((5pi)/19)+......+cos((17pi)/...
Text Solution
|
Value of cos(pi/(2n+1))+cos((3pi)/(2n+1))+cos((5pi)/(2n+1))+... upto ...
Text Solution
|
A regular hexagon & a regular dodecagon are inscribed in the same circ...
Text Solution
|
in any triangle ABC, which is not right angled Sigma cosA.cosecB.cosec...
Text Solution
|
If 3 cos x + 2 cos 3x = cos y, 3 sin x + 2 sin 3x = sin y, then the va...
Text Solution
|
of 0 < x < 90^@ and cosx=3/sqrt10 then the value of log10 sinx+log10 c...
Text Solution
|
if tantheta=1/(2+(1/(2+1/(2+...oo)))) then find possible values of the...
Text Solution
|
If (sinA)/(sinB)=(sqrt(3))/(2) and (cosA)/(cosB)=(sqrt(5))/(2) , 0 lt...
Text Solution
|
If 2 cos x +sin x=1 then value of 7 cos x + 6 sin x lis equal to
Text Solution
|
Let f(x) denote the sum of the infinite trigonometric series f(x)=unde...
Text Solution
|
If tan A & tan B are the roots of the quadratic equation x^2 - ax +...
Text Solution
|