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If "coses"theta-sintheta=m,sectheta-co...

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`"coses"theta-sintheta=m,sectheta-costheta=n,"eliminate"theta`

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

Prove the following identities: (cosec theta-sintheta)^2+(sectheta-costheta)^2-(tantheta-cottheta)^2=1

. Let f(theta)=|{:(cos^2theta,costhetasintheta,-sintheta),(sinthetacostheta,sin^2theta,costheta),(sintheta,-costheta,0):}|,"find" f(pi/3) .

If A = [(costheta,-sintheta),(sintheta,costheta)] , then the matrix A^(-50) , when theta = (pi)/(12) , is equal to

Evalute : |{:(cos^2 theta,costhetasintheta,-sintheta),(costhetasintheta,sin^2theta,costheta),(sintheta,-costheta,0):}|

If f(theta)=|{:(cos^2theta,costhetasintheta,-sintheta),(costhetasintheta,sin^2theta,costheta),(sintheta,-costheta," "0):}| , then find the value of f((pi)/6) .

If tan theta+sin theta=m and tan theta-sin theta=n , then

If A=[(costheta,sintheta),(-sintheta,costheta)] , then prove that A^(n)=[(cosntheta,sin n theta),(-sin ntheta,cos n theta)], n in N .

Simplify costheta[(costheta,sin theta),(-sintheta,costheta)]+sin[(sintheta,-costheta),(costheta,sintheta)]

The solution of the equation |(costheta,sintheta,costheta),(-sintheta,costheta,sintheta),(-costheta, -sintheta,costheta)|=0 is -

CENGAGE PUBLICATION-TRIGONOMETRIC FUNCTIONS-All Questions
  1. The value of cot70^0+4cos70^0 is

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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 "coses"theta-sintheta=m,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 sin (pi/14)sin(3pi/14)sin(5pi/14)sin(7pi/14)sin(9pi/14)si...

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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

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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 and the...

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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((B-...

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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))+((1+cotx+cot^2x)/(1+tanx+ta...

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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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