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If cot theta = 8//15 and theta does not...

If `cot theta = 8//15 and theta ` does not lie in the first quadrant , then ` cos (30^(@) + theta ) + sin (45^(@) - theta ) + cos(120^(@) + theta ) = `

A

`(1)/(34)(23 + 7sqrt(3) + 7sqrt(2))`

B

`(1)/(34)(23 + 7sqrt(3) -7sqrt(2))`

C

`(1)/(34)(23-7sqrt(2) + 7sqrt(3))`

D

`(1)/(34)(23-7sqrt(3)-7sqrt(2))`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 B ( COMPOUNDS ANGLES )
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  11. cos theta + cos (120^(@) + theta ) + cos (120^(@) - theta )=

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  12. cos theta + cos (240^(@) + theta ) + cos (240^(@)- theta )=

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  13. sin theta + sin (120^(@) + theta ) + sin ( theta - 120^(@))=

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  14. cos theta - cos (60^(@) + theta ) - cos(60^(@) - theta )=

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  15. cos 20^(@) + cos 100^(@) + cos 140^(@) =

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  16. sin 40^(@) - sin 80^(@)+ sin 160^(@)=

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  17. If A+B+C=0 , then tan A+ tan B+ tan C=

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  19. If A+C=B then tan A* tan B * tan C=

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  20. If A+B+C = pi //2 , then tanA tanB + tanB tanC+ tan A tan C=

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