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The general solution of the trigonometri...

The general solution of the trigonometrical equation `sin x +cosx=1` is

A

`x=2n pi, n in I`

B

`x=2n pi +pi//2, n in I`

C

`x=n pi +(-1)^(n)pi//4-pi//4, n in I`

D

none of these

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The correct Answer is:
c
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MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -SOLVED EXAMPLES (LEVEL 1 Single Correct Answer Type Questions)
  1. Let theta in (pi//4,pi//2), which of the following statement is true?

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  2. If a cos A-b sinA=c, then a sinA+b cosA is equal to

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  3. The general solution of the trigonometrical equation sin x +cosx=1 is

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  4. The values of x been 0 and 2pi which satisfy the equation sin x sqrt(8...

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  5. 16[tan 2 theta+sin2 theta]+8=0 if

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  6. The numbers of solutions of the pair of equations 2sin^(2) theta-cos...

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  7. The solution set of the equation tan(pi tan x=cot (pi cot x) is

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  8. The least positive root of the function sin x -pi//2+1=0 lies in the i...

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  9. The number of solution of the equation cos (pi sqrt(x-4)) cos (pi sq...

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  10. The number of values of x in the interval [0, 3pi] satisfying the equa...

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  11. If A, B, C are the angles of a trinagle and cosB+cosC=4sin^(2)(A//2),...

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  12. If 15sin^(4)x +10cos^(4)x =6, Then tan^(2)x=

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  13. Sum of the root of the equation 2sin^(2)theta +sin^(2)2 theta =2, 0...

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  14. If tan x//2="cosec"x-sinx, then sec^(2)(x//2)=

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  15. Let A and B denote the statements A: cos alpha + cos beta + cos gamm...

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  16. cos^(2)u+cos^(2)(u+x)-2cos u cos x cos(u+x)=1//2 if

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  17. For a regular polygon, let r, R be the radii of the inscribed and circ...

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  18. If cos(alpha+beta)=4//5 and sin(alpha-beta)=5//13 where 0 le alpha, be...

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  19. The possible values of theta in (0, pi) such that sin(theta)+sin(4thet...

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  20. In a Delta PQR, if 3sinP+4cos Q=6 and 4sin +3cosP=1, Then the angle R...

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