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If 0 lt theta lt pi//2, then (1+cot the...

If `0 lt theta lt pi//2`, then `(1+cot theta-"cosec" theta)(1+tan theta+sec theta)` is equal to ________

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MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -EXERCISE (Numerical Answer Type Questions)
  1. If 0 lt theta lt pi//2, (tan theta +cot theta)^(2)-sec^(2)theta"cosec"...

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  2. If 0 lt theta lt pi//2, then (1+cot theta-"cosec" theta)(1+tan theta+...

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  3. For 0 lt theta lt pi//2, let a(n)=sin^(n) theta +cos^(n) theta, then ...

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  4. If sin^(2)theta=(x^(2)+y^(2)+1)/(2x), then x =

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  5. If a=b cos (2pi//3)=c cos(4pi//3), then ab+bc+ca is equal to

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  6. "sin"^(2)(pi)/(8)+"sin"^(2)(3pi)/(8) +"sin"^(2)(5pi)/(8)+"sin"^(2)(7pi...

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  7. If tan theta+cot theta=4, then tan^(4) theta+cot^(4) theta=

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  8. Suppose 0 lt theta lt pi//2. If a sin^(3)theta+b cos^(3) theta=sin the...

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  9. Let alpha=pi//10, then sin alpha sin (3alpha)=

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  10. Let theta=pi//5, then 4|cos theta cos (2 theta) cos(4 theta) cos (8 th...

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  11. Let theta=pi//6, and a=(1+cos theta)(1+cos 2theta)(1+cos 4 theta) (1+c...

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  12. If 0 lt a lt 1, then log(a)(tan 1^(@))+log(a)(tan 2^(@))+… + log(a)(ta...

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  13. 4 sin((pi)/(18))sin((5pi)/(18))sin((7pi)/(18))=

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  14. If cot (theta-alpha) cot(theta-beta)=cot^(2) theta, then 2(1+cot(2the...

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  15. If alpha=(pi)/(28), and a=(sin alpha)/(cos(3alpha))+(sin (3alpha))/(c...

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  16. Let alpha=pi//12 , and E=(1+cos alpha)(1+cos(3alpha))(1+cos(5alpha))(1...

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  17. Suppose f(theta)=cos theta cos(2theta) cos(2^(2) theta)-cos(2^(n) t...

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  18. For theta in R, let f(theta)=cos^(2)theta+cos^(2)(theta+pi//6)+sin...

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  19. Let a(n)=sum(k=1)^(n)tan^(-1)((2^(k))/(2+4^(k))), then tan(a(oo)-a(2))...

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  20. If (sin^(2)x)/(1+sin^(2)x)+(cos^(2)x)/(1+cos^(2)x)=2+(k)/(cos(4x)-17) ...

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