Home
Class 12
MATHS
Find all number x , y that satisfy the ...

Find all number x , y that satisfy the equation `(sin^2 x +(1)/( sin^(2) x))^(2)+( cos^(2)x+(1)/(cos^(2)x))^(2)=12+(1)/(2) siny. `

Text Solution

Verified by Experts

The correct Answer is:
`x=(2m+1)(pi)/(4) and y=2n pi +(pi)/(2) , n in I `
Promotional Banner

Similar Questions

Explore conceptually related problems

Find all number of pairs x,y that satisfy the equation tan^4 x + tan^(4)y+2 cot^(2)x * cot^(2) y=3+ sin^(2)(x+y) .

Find all the pairs of x,y that satisfy the equation cosx+cosy+cos(x+y)=-3/2

Evaluate int (sin^(6) x + cos^(6)x)/(sin^(2)x cos^(2)x) dx

cos 4x =1- 8 sin ^(2) x cos ^(2) x

Solve the system of equations tan^2 x + cot^(2) x = 2cos^(2)y cos^(2)y+sin^(2)z=1

The value of x , 0 le x le (pi)/2 which satisfy the equation 81^( sin^(2)x)+81^(cos^(2)x)=30 are

Find the number of solution of the equations sin^3 x cos x + sin^(2) x* cos^(2) x+sinx * cos^(3) x=1 , when x in[0,2pi]

Find the integrals of the functions in Exercise. (1)/(sin x cos^(2) x)

Solve the inequality (5)/4 sin^(2) x + sin^(2) x * cos^(2) gt cos 2x.

Find all real numbers x which satisfy the equation 2(log)_2log\ _2x+(log)_(1/2)(log)_2(2sqrt(2)x)=1.