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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 `
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ARIHANT MATHS ENGLISH-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Exercise (Subjective Type Questions)
  1. Find the number of solution of the equations |cos x |=[x], (where ...

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  2. Find the number of solution of the equations x+ 2 tan x =(pi)/(2),...

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  3. The equation sin^4x+cos^4x+sin2x+alpha=0 is solvable for -5/2lt=alphal...

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  4. If 32tan^3theta=2cos^2alpha-3 cosalpha and 3cos2theta =1 then the gene...

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  5. Solve the following system of simultaneous equation for x a n d ydot ...

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  6. Find all number x , y that satisfy the equation (sin^2 x +(1)/( sin^(...

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  7. Find dy/dx if 3x-5y=secx

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  8. Solve for x and y , 1-2x-x^(2)=tan^(2)(x+y)+cot^(2)(x+y).

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  9. Solve the system of equations tan^2 x + cot^(2) x = 2cos^(2)y co...

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  10. Find all the pairs of x,y that satisfy the equation cosx+cosy+cos(x+y)...

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  11. Solve the equation cot((theta )/(2))-"cosec"((theta)/2)=cot theta

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  12. Find the general solution of 1+sin^3x + cos^(3)x=(3)/(2)sin 2x

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  13. Solve log((sin x))2log((sin^(2)x))a=-1 stating any condition on a' tha...

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  14. Cosider the equation int(0)^(x) (t^(2)-8t+13)dt= x sin (a//x) One of...

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  15. If tanx=b/a, find the value of (acos2x+bsin2x).

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  16. Find all number of pairs x,y that satisfy the equation tan^(4) x + tan...

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  17. Determine all value of 'a' for which the equation cos^(4) x-(a+2) cos...

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  18. For x in (-pi, pi) find the value of x for which the given equation (s...

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  19. Show that the equation , sec theta + "cosec" theta = c has two roots...

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

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