Solve the equation (sinx+cosx)^(1+sin2x)...

Solve the equation `(sinx+cosx)^(1+sin2x)=2,` when `0lt=xlt=pi`

Text Solution

AI Generated Solution

Topper's Solved these Questions

TRIGNOMETRIC RATIOS AND IDENTITIES
ALLEN|Exercise All Questions|1 Videos
TRIGONOMETRIC RATIOS AND IDENTITIES
ALLEN|Exercise All Questions|149 Videos

Similar Questions

Explore conceptually related problems

Solve the equation (sinx+cosx)^(1+sin2x)=2 , when 0 lexlepi

Solve the equation (sqrt(3))/2sinx-cosx=cos^2x

Solve the equation 5sin^(2)x-7sinx cosx+16cos^(2)x=4

Number of solutions of the equation sin^4x-cos^2xsinx+2sin^2x+sinx=0in0lt=xlt=3pi is_____

Solve the equation sqrt3 cos x + sin x =1 for - 2pi lt x le 2pi.

Solve the equation 2(cos x+cos2x)+sin2x(1+2cos x)=2sinx for (-pilt=xlt=pi)

Number of solutions of the equation cos^4(2x)+2sin^2(2x) =17(cosx+sinx)^8 , 0 lt x lt 2π is

Solve the equation sqrt(|sin^(-1)|"cos"||+|cos^1|sinx||)=sin^(-1)|cosx|-cos^(-1)|sinx|,(-pi)/2lt=xlt=pi/2dot

Find the area bounded by the y-axis, y=cosx ,and y=sinx when 0lt=xlt=pi/2dot

ALLEN-TRIGONOMETRIC EQUATION-All Questions

Solve: costhetacos2thetacos3theta=1/4, where 0 lethetalex.
Text Solution
|
The total number of solution of the equation sin^(4) x + cos^(4) x = ...
Text Solution
|
Solve the equation (sinx+cosx)^(1+sin2x)=2, when 0lt=xlt=pi
Text Solution
|
Solve the inequation 2^((1)/(cos^(2)x))sqrt(y^(2)-y+(1)/(2)) le 1
Text Solution
|
The equation 2cos^2 (x/2)sin^2x=x^2+x^(-2);0
Text Solution
|
Find the solution set of inequality sin x gt 1//2
Text Solution
|
Find the value of x , for which 5cos^2x + 7sin^2x - 6=0
Text Solution
|
Find the values of alpha lying between 0 and pi for which the inequa...
Text Solution
|
Solve the following equation : tan^2theta+sec^2theta+3=2(sqrt(2)sect...
Text Solution
|
Find the solution set of equation 5^((1+log5cosx))=5/2
Text Solution
|
For the given equation write the general solution tan^2 2x=1
Text Solution
|
Find the values of x in the interval [0,2pi] which satisfy the inequal...
Text Solution
|
If cos 3theta+sin3theta+(2sin2theta-3)(sin theta-cos theta)gt0, then t...
Text Solution
|
The number of values of x in the in interval [0,5pi] satisfying the eq...
Text Solution
|
The number of solutions of the equation (secx)/(1-cosx)=1/(1-cosx) ...
Text Solution
|
The number of solutions of equation 2+7tan^2theta=3. 25sec^2theta(0^...
Text Solution
|
The number of solutions of the equation tan^2x-sec^10x+1=0 in (0,10) i...
Text Solution
|
find the least positive value of theta for which (cos theta+cos 2 thet...
Text Solution
|
The number of solutions of sin2x+cos4x=2 in the interval (0,2pi) is (A...
Text Solution
|
The complete solution of the equation 7cos^2x+sinxcosx-3=0 is given ...
Text Solution
|