If 2cos theta +sin theta = 1, (theta pi ...

If `2cos theta +sin theta = 1, (theta pi (4k+1)pi//2, k in I)` then `7cos theta+6sin theta` is equal to :

`1//2`

`11//2`

`46//5`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

TRIGONOMETRICAL IDENTITIES AND EQUATIONS
MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 1 Single Correct Answer Type Questions) |55 Videos
TRIGONOMETRICAL IDENTITIES AND EQUATIONS
MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 Single Correct Answer Type Questions) |32 Videos
THE DIMENSIONAL GEOMETRY
MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos
VECTOR ALGEBRA
MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos

Similar Questions

Explore conceptually related problems

If 2cos theta+sin theta=1(theta!=(pi)/(2)) then 7cos theta+6sin theta is equal to

Statement I If 2 cos theta + sin theta=1(theta != (pi)/(2)) then the value of 7 cos theta + 6 sin theta is 2. Statement II If cos 2theta-sin theta=1/2, 0 lt theta lt pi/2 , then sin theta+cos 6 theta = 0 .

If sin theta+ cos theta= (1)/(2) , then 16(sin (2theta)+ cos (4theta) + sin (6theta)) is equal to

The number of values of theta in (0, pi] , such that (cos theta + i sin theta) (cos 3 theta + i sin 3 theta) (cos 5 theta + i sin 5 theta) (cos 7 theta + i sin 7 theta) (cos 9 theta + i sin 9 theta) = -1 is

If sin theta + 2cos theta = -1 , where 0 lt theta lt pi/2 , what is 2 sin theta - cos theta equal to ?

If sin theta + 2 cos theta = 1, where 0 lt theta lt (pi)/(2), then what is 2 sin theta - cos theta equal to ?

If 2cos(theta)+sin(theta)=1 and (3 pi)/(2)

MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -Questions from Previous Years. B-Architecture Entrance Examination Papers

If 2cos theta +sin theta = 1, (theta pi (4k+1)pi//2, k in I) then 7cos...
Text Solution
|
The number of solutions of the equation tan x+secx=2cosx lying in the ...
Text Solution
|
For theta pi 0, if cos theta+sec theta =2, then cos^(n)theta+sec^(n)th...
Text Solution
|
If for real p the equation sin^(6)x+cos^(6)x=p always has a real solut...
Text Solution
|
The value of "cos"^(4)(pi)/(8)+"cos"^(4)(3pi)/(8)+"cos"^(4)(5pi)/(8)+"...
Text Solution
|
The value of "sin"(pi)/(14)*"sin"(3pi)/(14)*"sin"(5pi)/(14) is
Text Solution
|
Let 0 lt alpha, beta le pi//4. If cos(alpha+beta)=4//5 and sin(alpha-b...
Text Solution
|
The sides of a triangle are sin beta, cos beta and sqrt(1+a sin 2 beta...
Text Solution
|
If cos25^(@)+sin25^(@)=K, when cos50^(@) equals
Text Solution
|
tan9^(@)-tan27^(@)-tan63^(@)+tan81^(@) is equal to:
Text Solution
|
If a and b are such that a sin theta=b cos theta for 0 le theta lt (pi...
Text Solution
|
The value of tan 9^(@) - tan 27^(@)- tan 63^(@)+ tan 81^(@) is
Text Solution
|
In a DeltaABC, if |(1,a,b),(1,c,b),(1,b,c)|=0 then sin^(2)A+sin^(2)...
Text Solution
|
Let (3pi)/(4) lt theta lt pi and sqrt(2cot theta +(1)/(sin^(2)theta))...
Text Solution
|
The maximum value of f(x)=2sin x+sin2x, in the interval [0, (3pi)/(...
Text Solution
|
For all values of theta in (0, (pi)/(2)), the determinant of the matr...
Text Solution
|
The value of (1)/(cos(285^(@)))+(1)/(sqrt(3)sin(255^(@))) is
Text Solution
|
If e^((sin^(2)x+sin^(4)x+…+"ad inf.")log(e )2), (0 lt x lt pi//2), sat...
Text Solution
|
The total number of x in [0, 2pi] which satisfy the equation 4(cos^(10...
Text Solution
|
If cos (alpha+beta)=(4)/(5) and sin(alpha-beta)=(5)/(13), where alpha,...
Text Solution
|
If sin(alpha-beta)=(5)/(13) and cos(alpha+beta)=(3)/(5), then tan(2alp...
Text Solution
|