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If tantheta=sqrt n, where n in N, >= 2,...

If `tantheta=sqrt n`, where `n in N, >= 2`, then `sec2theta` is always (a) a rational number (b) an irrational number (c) a positive integer (d) a negative integer

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CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. With usual notations, in triangle A B C ,acos(B-C)+bcos(C-A)+c"cos"(A-...

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  2. 3(sintheta-costheta)^4+6(sintheta+costheta)^2+4(sin^6theta+cos^6theta)...

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  3. If tantheta=sqrt n, where n in N, >= 2, then sec2theta is always (a)...

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  4. The value of cosycos(pi/2-x)-cos(pi/2-y)cosx+sinycos(pi/2-x)+cosxsin(p...

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  5. If P is a point on the altitude AD of the triangle ABC such the /C B P...

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  6. If theta1 and theta2 are two values lying in [0,2pi] for which t a n...

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  7. If tantheta=-4/3,t h e nsintheta is -4/5b u tnot4/5 (b) -4/5or4/5 ...

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  8. Let ABC be a triangle with /A=45^0dot Let P be a point on side BC with...

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  9. If costheta-sintheta=1/5, where 0 lt theta lt pi/4, then Column I Colu...

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  10. One of the general solutions of sqrt(3) cos theta-3 sin theta=4 sin 2 ...

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  11. Let theta in ( 0, pi/4) and t1 = (tan theta)^(tan theta),t2 = (tan th...

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  12. Sum of roots of the equation x^4-2x^2sin^2(pix/2)+1=0 is 0 (b) 2 ...

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  13. Let n be a positive integer such that sinpi/(2n)+cospi/(2n)=(sqrt(n))...

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  14. Let O be the circumcenter, H be the orthocentre, I be the incenter, an...

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  15. 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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  16. Prove that in a A B C ,sin^2A+sin^2B+sin^2C<=9/4dot

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  17. The number of solution of the pair of equations 2sin^2theta-cos2theta=...

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  18. The rational number which equals the number 2. 357 with recurring de...

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  19. If (cos^4A)/(cos^2B)+(sin^4A)/(sin^2B)=1 then prove that (cos^4B)/(cos...

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  20. Prove that r1+r2+r3-r=4R

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