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

Find the extreme values of `cos 2x+cos^2x`

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The correct Answer is:
Maximum value = 2
Minimum value = -1
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-TRIGONOMETRIC RATIOS UPTO TRANSFORMATIONS-EXERCISE - 6(D)
  1. If cosA=7/25 and (3pi)/2 lt A lt 2pi, then find the value of cotA//2.

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  2. If 0 lt theta lt (pi)/8, show that sqrt(2+sqrt(2+sqrt(2+2cos4theta))) ...

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

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

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  5. If a le cos theta + 3sqrt(2) sin [theta + (pi)/4] + 6 le b, find large...

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  6. Find the periods for the following functions. cos^(4)x

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  7. Find the periods for the following functions. 2sin[(pixi)/4]+3cos[(p...

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  8. Find the periods for the following functions. sin^(2)x+2cos^(2)x

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  9. Find the periods for the following functions. 2sin[pi/4+xi]cosx

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  10. Find the periods for the following functions. (5sigmatauvxi+3chiosig...

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  11. If 0 lt A lt pi //4 and cos A = 4//5, then find the values of sin 2...

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  12. For what values of A in the first quardrant, the expression (cot^(3)A-...

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  13. Prove that (cos3A + sin3A)/(cosA - sin A) = 1+ 2sin 2A.

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  14. If theta lies in third Quardrant and Sintheta=(-4)/5. Find the values ...

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  15. If 90^(@) lt theta lt 180^(@) , cos theta =-12//13 , then sin 2 thet...

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  16. (Cos^(3)theta-Cos3theta)/(Costheta)+(Sin^(3)theta+Sin3theta)/(Sintheta...

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  17. Show that CosA=(Cos3A)/(2Cos2A-1). Hence find the value of Cos15^(@)

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

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  19. Prove that tanalpha=(sigmatauv2alpha)/(1+chiosigma2alpha) and hence de...

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  20. Show that 1/(sin 10^(@)) - (sqrt(3))/(cos 10^(@)) = 4.

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