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Prove by mathematical induction. (cost...

Prove by mathematical induction.
`(costheta +i sintheta)^n=(cosntheta+isinntheta),`
where `i=sqrt(-1)`

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MAXIMUM PUBLICATION-PRINCIPLE OF MATHEMATICAL INDUCTION-EXAMPLE
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  5. Given P(n):3^(2n) -1 is divisible by 8. If P(k) is true then prove P...

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  7. Prove that by 1.2+2.3+3.4+…..+n(n+1)=(n(n+1)(n+2))/3 by using the prin...

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  9. Consider the statement P(n):n(n+1)(2n+1) is divisible by 6. Verify t...

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  10. Consider the statement P(n):n(n+1)(2n+1) is divisible by 6. By assum...

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  11. Consider the statement P(n):1^2+2^2+3^2+…….+n^2=(n(n+1)(2n+1))/6 C...

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  12. Consider the statement P(n):1^2+2^2+3^2+…….+n^2-(n(n+1)(2n+1))/6 B...

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  13. Consider the statement P(n):1^2+2^2+3^2+…….+n^2=(n(n+1)(2n+1))/6 I...

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  14. Consider the statement P(n)=1+3+3^2+…….+3^(n-1)=frac(3^(n-1))(2) C...

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  15. Consider the statement P(n)=1+3+3^2+…….+3^(n-1)=frac(3^(n)-1)(2) I...

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  16. Consider the statement p(n):1^3+2^3+3^3+………..+n^3=[(n(n+1))/2]^2 V...

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  18. Consider the statement P(n):1.2+2.3+3.4+…….+n(n+1)=(n(n+1)(n+2))/3 ...

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  19. Consider the statement P(n):1.2+2.3+3.4+…….+n(n+1)=(n(n+1)(n+2))/3 ...

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  20. Consider the statement P(n)=3^(2n+2)-8n-9 is divisible by 8 Verify...

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