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3(sinx-cosx)^(4)+6(sinx+cosx)^(2)+4(sin^...

`3(sinx-cosx)^(4)+6(sinx+cosx)^(2)+4(sin^(6)x+cos^(6)x)=`

A

14

B

11

C

12

D

13

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HIMALAYA PUBLICATION-MEASUREMENT OF ANGLES, TRIGONOMETRIC RATIOS AND RELATION BETWEEN SIDES AND ANGLES OF A TRIANGLE-QUESTION BANK
  1. Which one of the following is possible?

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  2. If one side of a triangle is double the other and the angles opposite ...

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  3. 3(sinx-cosx)^(4)+6(sinx+cosx)^(2)+4(sin^(6)x+cos^(6)x)=

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  4. A cow is tied to a post by a rope. The cow moves along the circular pa...

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  5. If |(1+sin^(2)theta, cos^(2)theta, 4 sin 2 theta),(sin^(2) theta, 1+co...

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  6. (sin theta+cos theta)(tan theta+cot theta)=

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  7. The sides of a triangle are 6+sqrt(12),sqrt(48) and sqrt(24). The tang...

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  8. cot 12^(circ) cot 102^(circ)+cot 102^(circ) cot 66^(circ) +cot 66^(ci...

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  9. sin 10^(circ) . sin 30^(circ) . sin 50^(circ) . sin 70^(circ)=

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  10. Angles of elevatiobn of the top of a tower from three points (collinea...

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  11. If any triangle A B C, the simplified form of (cos 2 A)/(a^(2))-(cos...

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  12. A value of theta satisfying sin 5 theta-sin 3 theta+sin theta=0 such ...

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  13. If tan A-tan B=x and cot B-cot A=y, then cot (A-B)=

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  14. The value of "cos"^(2)(pi)/(12)+"cos"^(2)(pi)/(4)+"cos"^(2)(5pi)/(12) ...

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  15. If sin theta, cos theta, tan theta are in G.P, then cot ^(6) theta-cot...

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  16. (1-tan ^(2) 15^(circ))/(1+tan ^(2) 15^(circ))=

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  17. sin ^(2) 5^(circ)+sin ^(2) 10^(circ)+sin ^(2) 15^(circ)+….+sin ^(2) 90...

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  18. If 0 lt theta lt (pi)/(2) and tan theta+sec theta=p then sec theta=

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  19. sin 10^(circ)+sin 20^(circ)+sin 30^(circ)+.. .+sin 360^(circ)=

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  20. sqrt(2+sqrt(2+sqrt(2+2 cos 8 theta)))=

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