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If cosec theta + cot theta =1//3, then f...

If `cosec theta + cot theta =1//3`, then find `cos theta` and determine the quadrant in which `theta ` lies.

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The correct Answer is:
`4//5, Q_(2)`
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SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Trigonometric Ratios, Transformations)
  1. If "sec" theta + tan theta = 2//3, then find the value of sin theta an...

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  2. If "sec" theta + tan theta = 5 then find sin theta and determine the q...

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  3. If cosec theta + cot theta =1//3, then find cos theta and determine th...

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  4. If acos theta -bsin theta =c, then show that asine theta + bcos =pm s...

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  5. If 3sin A + 5 cos A = 5, then show that 5 sin A - 3 cos A = +- 3.

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  6. If 3sin A + 4 cos A = 5, then find the value of 4 sin theta - 3 cos th...

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  7. Show that sin 1140^(@) cos 390^(@)-cos 780^(@) sin 750^(@) = 1//2.

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  8. Find the value of sin 330^(@) .cos 120^(@) + cos 210^(@) . Sin 300^(@)...

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  9. Simplify cos 100^(@) cos 40^(@) + sin 100^(@) sin 40^(@).

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  10. Show that sin 750 ^(@) cos 480^(@) + cos 120 ^(@) cos 60 ^(@)=-1/2

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  11. Prove that sin 780^(@) sin 480^(@)+cos240^(@). Cos300^(@) = 1/2

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  12. Find the value of tan56^(@)-tan11^(@)-tan56^(@).tan11^(@).

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  13. Prove that tan70^(@)-tan20^(@)=2tan50^(@).

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  14. Prove that tan72^(@)=tan18^(@)+2tan54^(@).

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  15. Show that cos 35^(@) + cos 85^(@) + cos 155^(@) = 0

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  16. If tan theta = (cos 11^(@)+sin11^(@))/(cos11^(@)-sin11^(@)) and theta ...

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  17. Prove that sin^(2)24^(@)-sin^(2)6^(@)

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  18. Find the value of sin^(2)42^(@)-sin^(2)12^(@).

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  19. Find the value of sin^(2)82 1/2-sin^(2)22 1/2.

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  20. Prove that sin^(2)52 1/2-sin^(2)22 1/2.

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