Home
Class 12
MATHS
Solve the system of equations tan^2 x ...

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

Text Solution

Verified by Experts

The correct Answer is:
`x= kpi +(pi)/(4), y=m pi and z=npi ` where `k,m,n in Z `
Promotional Banner

Similar Questions

Explore conceptually related problems

Solve the equation (tan x )^( cos^(2) x)= ( cot x )^( sin x )

Solve the equation : 2 tan^(-1) ( 2x - 1) = cos ^(-1) x .

Solve the system of equations {:(2x+5y=1),(3x+2y=7):},

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) .

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

If the sum of all value of x satisfying the system of equations tan x + tan y+ tan x* tan y=5 sin (x +y)=4 cos x * cos y is (k pi )/2 , where x in (0, (pi)/(2)) then find the values of k .

Solve the system of equations {(|x-1|+|y-2|=1),(y=2-|x-1|):}

Find the value of 'a' which the system of equation sin x * cos y=a^(2) and sin y* cos x =a have a solution

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.

Solve the equation for x and y , |sin x + cos x|^( sin^(2) x-1//4)=1+|siny| and cos^(2)y=1+sin^(2)y .