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Find the minimum and maximum values of `3 cos x + 4 sin x `

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The correct Answer is:
`c-sqrt(a^(2)+b^(2))=0-sqrt(3^(2)+4^(2)=-5)`
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SRISIRI PUBLICATION-TRIGONOMETRIC RATIONS, TRANSFORMATIONS-VSAQ
  1. Find a cosine function whose period is 7.

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  2. Find a sine function whose period is 2//3.

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  3. Find the minimum and maximum values of 3 cos x + 4 sin x

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  4. Find the maximum and minimum value of f(x) = 5sinx + 12cos x -13.

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  5. Find the range of 13cosx+3sqrt3 sin x-4

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  6. Find the extreme values of cos 2x+cos^2x

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  7. Find the extreme values of 3sin^(2)x+5cos^(2)x.

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  8. In Delta Prove that tan A+tan B+ tan C =tan A tan B tan C.

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  9. If A+B+C= pi//2 then show that cot A + cot B+ cot C=cot A cot B cot C

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  10. If A+B=45^(@), then prove that (i) (1+ tan A) (1+ tan B) =2 (ii) (cot...

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  11. If A is not an integral multiple of (pi)/(2), prove that (i) tan A +...

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  12. Prove that sin ^(2) theta + sin ^(2) (theta+(pi)/(3))+ sin ^(2) (theta...

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  13. If tan alpha - tan beta =m and cot alpha - cot beta =n, then prove tha...

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  14. If (sin(alpha+beta))/(sin(alpha-beta)) = (a+b)/(a-b), then prove that ...

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  15. Prove that (1- sec 8 alpha )/(1- sec 4 alpha )=(tan 8 alpha )/( tan 2 ...

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  16. If tan theta . =(b)/(a) then prove that acos 2 theta +b sin 2 theta =a

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  17. Show that sin A= (sin 3A) /(1+2 cos 2A). Hence find the value of sin 1...

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  18. Show that sin A sin ((pi)/(3)+A) sin ((pi)/(3) -A)=(1)/(4) sin 3A

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  19. Prove that cos ^(2). (pi)/(8) + cos ^(2). (3pi)/(8)+ cos ^(2). (5 pi )...

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  20. Show that 1/(sin10^@)-sqrt3/(cos10^@)=4

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