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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=` (a) `x ,1/x` (b) `2x ,1/(2x)` (c) `-2x ,1/(2x)` (d) `-1/x ,x`

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RD SHARMA ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. Is the following inequality correct? sin1^0> sin1

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  2. If f(x)=cos^2x+s e c^2x ,t h e n (a) f(x)<1 (b) f(x)=1 (c) 2ltf(x)<...

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

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  4. If s e c^2theta=(4x y)/((x+y)^2) is true if and only if (a)x+y!=0 (b)...

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  5. If cos e ctheta+cottheta=(11)/2 , then t a ntheta= (21)/(22) (b) (15...

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  6. If (3pi)/4 lt alpha lt pi, then sqrt(2cotalpha+1/(sin^2alpha)) is equ...

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  7. If x=rsinthetacosphi,y=rsinthetasinphi and z=rcostheta, then x^2+y^2+...

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  8. If sintheta+costheta=0 and theta lies in the fourth quadrant, find si...

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  9. Prove that: sqrt(1-sintheta)/(1+s intheta)+sqrt((1+sintheta)/(1-s inth...

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  10. Prove that: cos((3pi)/2+x)cos(2pi+x){cot((3pi)/2-x)+"cot"(2pi+x)}=1

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  11. Prove that: (cos(pi+x)cos(-x))/(sin(pi-x)cos(pi/2+x)} =cot^2x

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  12. If x=(2sintheta)/(1+costheta+sintheta) , then prove that (1-costheta+...

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  13. If tanx=(b)/(a), then find the value of sqrt((a+b)/( a-b ))+sqrt((a-b)...

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  14. Find the values of the following trigonometric ratios. (1) cos e c390^...

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  15. Prove that: sin(-420^0)(cos390^0)+cos(-660^0)(sin330^0)=-1.

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  16. Prove that: "sec"((3pi)/2-theta)"sec"(theta-(5pi)/2)+t a n((5pi)/2+the...

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  17. Prove that: sin^2pi/(18)+sin^2pi/9+sin^2(7pi)/(18)+sin^2(4pi)/9=2

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  18. If any quadrilateral ABCD, prove that "sin"(A+B)+sin(C+D)=0 "cos"(A...

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  19. Find the value of the expression 3{sin^4((3pi)/2-theta)+sin^4(3pi+the...

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  20. If t a n^2theta=1-a^2 , prove that sectheta+t a n^3thetacos e ctheta=(...

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