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Find the value of 3(sinx-cosx)^(4)+6(sin...

Find the value of `3(sinx-cosx)^(4)+6(sinx+cos x)^(2)+4(sin^(6)x+cos^(6)x)`.

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MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Prove that: (tanA+secA-1)/(tan A -secA +1)= secA+tanA.

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  2. Eliminate alpha between the equations: (sin^2 alpha)/(cos alpha)=a^3...

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  3. Find the value of 3(sinx-cosx)^(4)+6(sinx+cos x)^(2)+4(sin^(6)x+cos^(6...

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  4. Given, sin x =-3/7 and x belongs to the third quadrant, obtain the va...

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  5. If 7 sin A = 24 cos A and 0ltAlt pi/2, find 14 tan A - 25 cos A-7 sec...

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  6. If sectheta= x+1/(4x) , then prove that sectheta+tantheta=2x or 1/(2x)...

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  7. If tan theta =p/q, show that : (p sin theta-q cos theta)/(p sin thet...

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  8. If sin x + sin^2 x = 1, show that : cos^4 x+ cos^2 x=1.

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  9. If sin x + cos x =sqrt2 cos x, show that : sqrt2 sin x =cos x- sin x.

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  10. If a cos theta-b sintheta=c, then find the value of a sin theta+b cos...

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  11. If A+B = alpha and sin A =k sin B, show that : tanA= (k sin alpha)/(...

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  12. Prove that sin frac (pi)(14) sin frac (3 pi)(14) sin frac (5pi)(14) si...

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  13. Prove that : cos^2 A+cos^2 (A+120^@)+ cos^2 (A-120^@)=3/2.

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  14. Prove that cos A cos 2A cos 4A cos 8A= (sin 16A)/(16 sin A).

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  15. If alpha and beta are two real numbers such that alpha- beta ne 2 n pi...

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  16. If alpha and beta are two real numbers satisfying the equation a cos x...

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  17. If alpha and beta are two real numbers satisfying the equation a cos x...

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  18. If (sin^4 theta)/a+ (cos^4 theta)/b= 1/(a+b), prove that (sin^12 thet...

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  19. If (sin^4 theta)/a+ (cos^4 theta)/b= 1/(a+b), prove that (sin^(4n) th...

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  20. If a tan alpha+b tan beta=(a+b) tan ((alpha+beta)/2), where alpha ne b...

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