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

`4 sin((pi)/(18))sin((5pi)/(18))sin((7pi)/(18))= ` ________

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If K=sin((pi)/(18))sin((5 pi)/(18))sin((7 pi)/(18)), then the numerical value of K is

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Which of the following statement(s) is/are corect? (1) cos(sin1)>sin(cos1)(2)cos(sin1.5)>sin(cos1.5)(3)cos(sin7(pi)/(18))>sin(cos7(pi)/(18))(4)cos(sin5(pi)/(18))>sin(cos5(pi)/(18))

cos((pi)/(7))*cos(2(pi)/(7))*cos(10(pi)/(7))-sin((pi)/(14))*sin(3( pi)/(14))*sin(5(pi)/(14)) Find value.

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MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -EXERCISE (Numerical Answer Type Questions)
  1. Let theta=pi//6, and a=(1+cos theta)(1+cos 2theta)(1+cos 4 theta) (1+c...

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

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  3. 4 sin((pi)/(18))sin((5pi)/(18))sin((7pi)/(18))=

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

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

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

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

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

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

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

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  11. (tan 10^(@)+tan 70^(@)-tan50^(@))^(2)= .

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  12. tan^(6)((pi)/(9))-33 tan^(4)((pi)/(9))+27tan^(2)((pi)/(9))= .

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  13. Let f(x)=cos^(2)((pi)/(4)+x)+(sinx-cosx)^(2), AA x in R then max(f(x))...

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  14. Let M = the maximum value of (1)/(9 sin^(2)x+24 sin x cosx+19cos^(2...

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  15. Let alpha=(1)/(8) sum(k=0)^(10)sec((7pi)/(12)+(kpi)/(2)) sec((7pi)/(12...

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  16. Suppose for 0 lt x lt (pi)/(2), (sin(7x))/(sinx)=a cos(6x)+b cos(4x)+c...

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  17. If x in [0, 2pi], then the number of solutions of sin^(5)x-cos^(5)x=(1...

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  18. If x in [0, 2pi], then the number of solutions of sin^(3)x+cos^(3)x=1,...

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  19. If x in [0, 2pi], then the number of solutions of 4-4(cosx-sin x)-sin2...

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  20. The number of solutions of 2(cosx+cos(2x))+sin(2x)(1+2cosx)=2sinx lyin...

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