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If `cosectheta-sintheta=m a n d sectheta-costheta=n ,"eliminate"theta`

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If cosectheta-sintheta=m" and " sectheta-costheta=n , elimnate theta .

If cos e ctheta-sintheta=m and sectheta-costheta=n , prove that (m^(2)n)^(2/3)+(m n^2)^(2/3)=1

If cosectheta-sintheta=a^3, sectheta-costheta=b^3 , then prove that a^2b^2(a^2+b^2)=1

If cos e ctheta-sintheta=l and sectheta-costheta=m , prove that l^2m^2(l^2+m^2+3)=1

Prove that ("cosec "theta-sintheta)(sectheta-costheta)(tantheta+cottheta)=1

If theta is eliminated from the equations costheta-sintheta=b and cos3theta+sin3theta=a ,find the eliminant

If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (x^2+4)((dy)/(dx))^2=n^2(y^2+4)

If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (x^2+4)((dy)/(dx))^2=n^2(y^2+4)

If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (x^2+4)((dy)/(dx))^2=n^2(y^2+4)

Prove: (sectheta+costheta)(sectheta-costheta)=tan^2theta+sin^2theta

CENGAGE ENGLISH-TRIGONOMETRIC FUNCTIONS-All Questions
  1. The value of cot70^0+4cos70^0 is (a)1/(sqrt(3)) (b) sqrt(3) (c) ...

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  2. In A B C , right-angled at C , if tanA=sqrt((sqrt5-1)/2) , show tha...

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  3. If cosectheta-sintheta=m a n d sectheta-costheta=n ,"eliminate"theta

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  4. The solution of 4sin^2x+tan^2x+cos e c^2x+cot^2x-6=0i s(n in Z) (a) ...

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  5. The value of sinpi/(14)sin(3pi)/(14)sin(5pi)/(14)sin(7pi)/(14)sin(9pi)...

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  6. If 3sintheta+5costheta=5, then show that 5sintheta-3costheta=+-3.

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  7. In A B C , if (sinA)/(csinB)+(sinB)/c+(sinC)/b=c/(a b)+b/(a c)+a/(b c...

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  8. The set of values of x satisfying the equation sin3alpha=4sinalphasin(...

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  9. cos e c(360^0)/7+cos e c(540^0)/7= (a) cosec(180^0)/7 ,(b) cosec(...

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  10. If (secA+tanA)(secB+tanB)(secC+tanC)=(secA-tanA)(secB-tanB)(secC-tanC)...

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  11. In a triangle A B C , the altitude from A is not less than B C andthe ...

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  12. If (3-tan^2(pi/7))/(1-tan^2(pi/7))=kcos(pi/7) then the value of k is...

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  13. If tan(A-B)=1a n dsec(A+B)=2/(sqrt(3)) , then the smallest positive va...

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  14. Prove that sqrt((1+sintheta)/(1-sintheta))=sectheta+tantheta

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  15. If in A B C ,A C is double of A B , then the value of cot(A/2)cot((...

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  16. If 3tan(theta-15^0)=tan(theta+15^0), then theta is equal to n in Z) ...

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  17. Let P(x)=((1-cos2x+sin2x)/(1+cos2x+sin2x))^2+((1+cotx+cot^2x)/(1+tanx+...

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  18. prove that 1/(secA-tanA)-1/(cosA)=1/(cosA)-1/(secA+tanA)

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  19. Number of solution(s) satisfying the equation 1/(sinx)-1/(sin2x)=2/(si...

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  20. If in A B C , side a , b , c are in A.P. then B > 60^0 (b) B<60^0 B...

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