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If sectheta=x+1/(4x), then s e ctheta+t ...

If `sectheta=x+1/(4x),` then `s e ctheta+t a ntheta=` `x ,1/x` (b) `2x ,1/(2x)` (c) `-2x ,1/(2x)` (d) `-1/x ,x`

A

`x,(1)/(x)`

B

`2x,(1)/(x)`

C

`-2x,(1)/(x)`

D

`-(1)/(x),x`

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B
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OBJECTIVE RD SHARMA-TRIGONOMETRIC RATIOS AND IDENTITIES-Exercise
  1. If 0 < theta < 2pi, then the intervals of values of ? for which 2si...

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  2. If tantheta=x-1/(4x), then sectheta-tantheta is equal to

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  3. If sectheta=x+1/(4x), then s e ctheta+t a ntheta= x ,1/x (b) 2x ,1/(...

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  4. If piltthetalt 2pi, then sqrt((1+costheta)/(1-costheta)) is equal to

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  5. If theta lies in the second quadrant, then the value sqrt(((1-sinth...

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  6. sin^2 theta =(x+y)^2/(4xy) where x,yinR gives theta if and only if

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  7. sec theta=(a^(2)+b^(2))/(a^(2)-b^(2)), where a, binR, gives real balue...

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  8. If 0^@ltthetalt180^@ then sqrt(2+sqrt(2+sqrt(2+...+sqrt(2(1+costheta))...

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  9. sin65^(@)+sin43^(@)-sin29^(@)-sin7^(@) is equal to

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  10. If sec alpha and cosec alpha are the roots of the equation x^(2)-ax+b=...

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  11. The value of the expression 3(sinx-cosx)^(4)+4(sin^(6)x+cos^(6)x)+6(s...

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  12. If cos(alpha+beta)sin(gamma+delta)=cos(alpha-beta)sin(gamma-delta) the...

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  13. sin^(2)5^@+sin^(2)10^@+sin^(2)15^@ +.......+sin^(2)85^@ + sin^(2)90^@=

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  14. If sinx+sin^2x=1, then find the value of cos^(12)x +3cos^(10)x + 3 cos...

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  15. If ABCD is a cyclic quadrilateral, then the value of cosA-cosB+cosC-co...

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  16. If ABCD, is a cycling quadrilateral such that tanA-5=0and 5cosB+3=0, t...

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  17. If sin (picot theta)=cos (pi tantheta), then

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  18. The value of sinx siny sin(x-y)+sinysinz sin(y-z) +sinz sinx sin(z-x)+...

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  19. If ABCD is a convex quadrilateral such that 4 sec A+5 =0 then the quad...

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  20. If (tanalpha+tanbeta)/(cot alpha+cot beta)+{cos(alpha-beta)+1}^(-1)=1,...

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