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If cos(α−β)=1 and cos(α+β)= 1/e , ...

If `cos(α−β)=1` and `cos(α+β)= 1/e` , where `α, β∈[−π,π].` Then number of ordered pairs of `(α,β)` is

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ALLEN-TEST PAPER-Chemistry
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  2. Show that (√5+i √2)/(√5-i√2) + (√5-i√2)/(√5+i√2) is real.

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  3. If cos(α−β)=1 and cos(α+β)= 1/e , where α, β∈[−π,π]. Then num...

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  4. Prove that;- sin^6θ+cos ^6θ=1−3sin^2θcos ^2θ

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  5. lf α and β are two different solutions lying between −π/2 and π/...

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  6. The solution set of sin(x+π/4)=sin2x equals to

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  7. Prove by the principle of mathematical induction that 2^ n >n fo...

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  8. The equation x(x+2)(x ^2 −x)=−1 , has all roots imaginary ...

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  9. The value of sin50^∘−sin70^∘ +sin10^∘ is

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  10. What is the value of sin ^2 25^0+sin^2 65^0?

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  11. Find dy/dx :6x−9+8y=0

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  12. The roots of the equation cos ^7x+sin^4x=1 in the interval (−π,π...

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  13. If (i ^413)(i ^x )=1 , then determine the one possible value of x.

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  14. Express the given complex number 3(7+i7)+i(7+i7) in the form a...

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  15. 1/(i-1) + 1/(i+1) is a. purely imaginary b. purely rational number....

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  17. |{:(,"List-I(Orbitals)",,"List-II"),(,"(Approach axis is z-axis)",,"(T...

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  18. Let alpha and beta be the roots of the equation x^2+(2-costheta)x-(1+c...

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  19. If 2p=x+1/x and 2q=y+1/y, then the value of ((pq+sqrt((p^2-1)(q^2-1)))...

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  20. Let P be minimum value of 9sin^2x+16cosec^2x and S be the minimum valu...

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