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Solve 4cot2theta=cot^2theta-tan^2theta...

Solve `4cot2theta=cot^2theta-tan^2theta`

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`theta =(2n+1)pi/4` or `theta = (npi)/2 + (-1)^(n) pi/12`
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AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Section I (subjective Type questions)
  1. In a Delta ABC, angle B lt angle C and the values of B and C satisfy t...

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  2. If A ={ theta : 2cos^2 theta + sintheta <=2} , and B = {theta: pi/2<=t...

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  3. Solve 4cot2theta=cot^2theta-tan^2theta

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  4. If 3tan(theta-15^0)=tan(theta+15^0)0<theta<90^0 , find theta .

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  5. If cos 2theta=(sqrt(2)+1)(cos theta-(1)/(sqrt(2))), then the general v...

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  6. Solve the equation sin^(2)ntheta - sin^(2)(n-1)theta = sin^(2)theta

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  7. Solve the equation tan x + (cosx)/(sqrt(1+sin2x))=2.

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  8. Let x and y, (0 lt x, y lt pi/2) satisfy 3sin^(2)x + 2sin^(2)y=1 and 3...

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  9. If angles A and B satisfy sqrt(2)cosA = cosB + cos^(3)B and sqrt(2)sin...

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  10. Let the sum of all solutions of the equation 3sqrt(3) sin^(3)x + cos^...

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  11. Solve the equation, 4^(sin2x + 2cos^(2)x+ 2sin^(2)x)=64.

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  12. If the equation sin6x + cos4x=-2 have a family of nonnegative solution...

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  13. Find all values of x, y and k for which the system of equations. sin...

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  14. Solve for x and y if sqrt(sinx cosy)=0 and 2sin^(2)x - cos2y-2=0

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  15. In a triangle ABC, if the median and altitude from A trisect angle A, ...

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  16. In a right angled triangle ABC, if r(in radius)=7 cm and R(Circumradiu...

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  17. The two adjacent sides of a cyclic quadrilateral are 2a n d5 and the a...

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  18. In a triangle ABC, perpendicualr distance of BC from the point of inte...

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  19. In a triangleABC, if 1/r^(2) + 1/r(1)^(2) + 1/r(2)^(2) + 1/r(3)^(2) = ...

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  20. The radius of the circle touching two sides AB and AC of a triangle AB...

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