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

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

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Evaluate (ii) sin^(2). (2pi)/(3) + cos^(2). (5pi)/(6) - tan^(2). (3 pi)/(4)

cos^(2)""(3pi)/(5)+cos^(2)""(4pi)/(5)=

sin ^(2) " (pi)/(6) + cos ^(2) "" (pi)/(3) - tan ^(2) " (pi)/(4) =- 1/2

cos^(2)""(pi)/(5)+ sin^(2)""(4pi)/(5)=

cot ^(2) "" (pi)/(6) + cosec ""(5pi)/(6) + 3 tan ^(2) ""(pi)/(6) =6

SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Trigonometric Ratios, Transformations)
  1. Simplify cot(theta - (13pi)/2)

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

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

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

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

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

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

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

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

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

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  15. If alpha , beta are complementry angles such that bsin alpha = a, the ...

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  16. Find the expansion of sin(A+B+C).

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  17. Prove that sin ^(2) ((pi)/(8)+(A)/(2)) - sin ^(2) ((pi)/(8) - (A)/(2))...

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  18. Express cos^(6)A + sin^(6)A interms of sin 2A.

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  19. Simplify tan ((pi)/(4) +A) tan ((pi)/(4)-A)

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  20. Prove that tan 3A. tan2A.tanA = tan3A - tan 2A - tan A

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