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

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

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3,5
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SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Trigonometric Ratios, Transformations)
  1. The minimum value of sin 2x - cos 2x is

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

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

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  4. Find the value of tan(855^@).

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  5. Find the value of sec(2100^@)

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  6. Find the value of "sec" (13 (pi)/3)

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  7. Simplify cot(theta - (13pi)/2)

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  8. Simplify tan(-23 (pi)/3)

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  9. sin^(2)""(2pi)/(3)+ cos^(2)""(5pi)/6-tan^(2)""(3pi)/4=

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  10. Find cos 225^(@) -sin 225^(@) +tan 495^(@) - cot 495^(@).

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  11. Find the value of 2(sin^(6)theta+cos^(6)theta)-3(sin^(4)theta+cos^(4)t...

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  12. Prove that (1+cot theta -"cosec" theta ) (1+ tan theta + sec theta )=2...

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  13. If (2 sin theta )/(1+ cos theta + sin theta )=x, find the value of (1...

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  14. Show that cos ^(4) alpha + 2 cos ^(2) alpha (1-(1)/(sec ^(2) alpha ))=...

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  15. Prove that (tan theta + cot theta)^(2) = "sec"^(2) theta + "cosec"^(2)...

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  16. Prove that sin^(2)alpha + cos^(2) (alpha + beta) + 2 sin alpha sin bet...

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  17. If cos theta gt 0, tan theta + sin theta =m and tan theta -sin theta =...

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  18. For what values of x in the first quadrant (2 tan x)/( 1- tan ^(2) x) ...

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  19. If A, B, C are angles of a cyclic quadrilateral prove that cos A+ cos...

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  20. If A, B, C, D are angles of a cyclic quadrilateral then P.T sin A - s...

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