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If tan20^(@)=p then prove that = (tan610...

If `tan20^(@)=p` then prove that = `(tan610^(@)+tan700^(@))/(tan 560^(@)-tan470^(@)) = (1-p^(2))/(1+p^(2))`

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(i) If tan 20^(@) = lambda then show that (tan 610^(@) + tan 700^(@))/(tan 560^(@) - tan 470^(@))=(1-lambda^(2))/(1+lambda^(2))

If tan20^(@) = lambda then show that (tan 160^(@) -tan 110^(@))/(1+tan160^(@).tan110^(@)) = (1-lambda^2)/(2lambda) .

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

Prove that tan 50^(@) -tan40^(@)-2tan10^(@) .

If tan 20^@ =p , " then " (tan 160^@ - tan 110^(@))/(1+ tan 160^(@) tan 110^(@))=

(2 tan 30^(@))/( 1-tan ^(2) 30^(@)) =

( 2tan 30 ^(@) )/( 1+tan ^(2) 45^(@) ) =

Tan20^(@) + 2Tan50^(@) =

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

SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Trigonometric Ratios, Transformations)
  1. Evaluate cos^(2)45^(@)+cos^(2)135^(@)+cos^(2)225^(@)+cos^(2)315^(@).

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  2. If tan20^(@) = lambda then show that (tan 160^(@) -tan 110^(@))/(1+tan...

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  3. If tan20^(@)=p then prove that = (tan610^(@)+tan700^(@))/(tan 560^(@)-...

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  4. If "sec" theta + tan theta = 2//3, then find the value of sin theta an...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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