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Let f(x)=cos(a1+x)+1/2cos(a2+x)+1/(2^2)c...

Let `f(x)=cos(a_1+x)+1/2cos(a_2+x)+1/(2^2)cos(a_1+x)++1/(2^(n-1))cos(a_n+x)` where `a)1,a_2 a_n in Rdot` If `f(x_1)=f(x_2)=0,t h e n|x_2-x_1|` may be equal to `pi` (b) `2pi` (c) `3pi` (d) `pi/2`

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ARIHANT MATHS ENGLISH-TRIGONOMETRIC FUNCTIONS AND IDENTITIES-Exercise (Subjective Type Questions)
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  11. In any DeltaABC, prove that Sigma (sqrt(sinA))/(sqrt(sinB)+sqrt(sinC...

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  12. If 2(cos ( alpha-beta)+cos(beta-gamma)+cos(gamma-alpha)+3=0, prove tha...

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  13. If the quadratic equation , 4^(sec^(2)alpha) x^(2) + 2x + (beta^(2)-...

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  14. If (cos theta(1))/(cos theta(2))+(sin theta(1))/(sin theta(2))=(cos th...

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  15. Prove that sum(k=1)^(n-1) ""^(n)C(k)[cos k x. cos (n+k)x+sin(n-k)x.s...

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  16. Total number of solution for the equation x^(2)-3[sin(x-(pi)/6)]=3 is ...

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  17. In aDeltaABC, prove that Sigma(r=0)^(n)""^(n)C(r)a^(r)b^(n-r) cos ( ...

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