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Let alpha=(1)/(8) sum(k=0)^(10)sec((7pi)...

Let `alpha=(1)/(8) sum_(k=0)^(10)sec((7pi)/(12)+(kpi)/(2)) sec((7pi)/(12)+((k-1)pi)/(2))`, then reciprocal of `-(1)/(pi)"cosec"^(-1)(alpha)` is __________.

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MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -EXERCISE (Numerical Answer Type Questions)
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  6. For theta in R, let f(theta)=cos^(2)theta+cos^(2)(theta+pi//6)+sin...

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

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

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

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

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

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

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

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

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  19. The number of solutions of tanx tan(x+pi//3)tan(x+2pi//3)= -1 lying...

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  20. The number of values of x in (0, 2pi) satisfying the equation |cosx|^(...

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