Find maximum value of sin^(8)theta+cos^(...

Find maximum value of `sin^(8)theta+cos^(14)theta`.

A

`sqrt(2)`

B

2

C

1

D

`1/sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:

C

Topper's Solved these Questions

ELEMENTARY TRIGONOMETRIC IDENTITIES
LUCENT PUBLICATION|Exercise EXERCISE 11B|37 Videos
ELEMENTARY TRIGONOMETRIC IDENTITIES
LUCENT PUBLICATION|Exercise EXERCISE 11B|37 Videos
CONGRUENCE AND SIMILAR TRIANGLES
LUCENT PUBLICATION|Exercise EXERCISE-5B|8 Videos
GRAPHICAL SOLUTION OF LINEAR EQUATION
LUCENT PUBLICATION|Exercise EXERCISE-3B|8 Videos

Similar Questions

Explore conceptually related problems

Maximum value of sin^(4)theta+cos^(4)theta is

Find maximum and minimum value of sin^(6)theta+cos^(6)theta

The maximum value of sin^8 theta + cos^14 theta for all real values of theta is s

Find maximum & minimum value of sin^(6)theta+cos^(6)theta

The maximum value of sin ^4 theta + cos ^4 theta is

If cot theta =7/8 Find the value of sin^(2) theta +cos^(2) theta .

Find maximum and minimum value of cos^(2)theta+sin^(4)theta .

If cos theta+sec theta=-2 for theta in[0,2 pi] then find the value of sin^(8)theta+cos^(8)theta

If cot theta=(4)/(3) , then find the value of sin theta,cos theta and cos ectheta in first quadrant. If sin theta+cos ec theta=2 then find the value of sin^(8 )theta+cos ec^(8)theta .

If (sin theta+cos theta)/(sin theta-cos theta)=3, then find the value of sin^(4)theta-cos^(4)theta

LUCENT PUBLICATION-ELEMENTARY TRIGONOMETRIC IDENTITIES -EXERCISE 11A

If a cos theta - b sin theta =c, then prove that a sin theta + b cos t...
Text Solution
|
Expression tan^(2)alpha + cot^(2)alpha is:
Text Solution
|
Find maximum value of sin^(8)theta+cos^(14)theta.
Text Solution
|
If P = 1/2 sin^(2)theta + 1/3 cos^(2)theta, then
Text Solution
|
Minimum value of 5costheta + 12 is:
Text Solution
|
If asin^(3)theta + bcos^(3)theta = sin theta costheta, 0 lt theta lt 9...
Text Solution
|
sin^(2)17.5^(@) +sin^(2)72.5^(@) is equal to:
Text Solution
|
A cow is tied in a pole with a rope. The cow moves in a circular pan k...
Text Solution
|
(sintheta + cos theta)(tan theta + cottheta) =
Text Solution
|
If secalpha, "cosec"alpha are roots of equation x^(2) + px + q=0, then
Text Solution
|
If sectheta and tantheta are roots of equation ax^(2) + bx + c=0 (a,b...
Text Solution
|
If x = h+ asectheta and y=k + b"cosec"theta then
Text Solution
|
If sinA - sqrt(6)cos A= sqrt(7) cosA, then the value of cosA + sqrt(...
Text Solution
|
If sintheta and costheta are roots of equation ax^(2) + bx + c =0, the...
Text Solution
|
Maximum value of sin(cos x) is-
Text Solution
|
If cos x + cos^(2)x =1, then the value of sin^(12)x + 3 sin^(10)x + 3s...
Text Solution
|
If 3sintheta + 5 cos theta = 5, then the value of 5sintheta - 3cos th...
Text Solution
|
If tantheta + sectheta =p, then the value of sec theta is:
Text Solution
|
If sintheta - cos theta = sqrt(2)cos theta, then the value of sintheta...
Text Solution
|
If tan(theta + 3theta) tan (2theta + 3theta)=1, then the value of sin(...
Text Solution
|