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Simplify cos 100^(@) cos 40^(@) + sin 10...

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

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The correct Answer is:
`1//2`
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sin 40^(@) - sin 80^(@)+ sin 160^(@) =

cos 40^(@) + cos 80^(@) + cos 160^(@) =

cos 70^(@) + sin 40^(@)=

cos 20^(@)* cos 40^(@) * cos 60^(@) * cos 80^(@) =

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

sin 70^@ - cos 40^(@) =

( sin 70^(@) + cos 40^(@) )/( cos 70^(@) + sin 40^(@))=

Show that cos 340^(@) cos 40^(@)+sin 200^(@) sin 140^(@) = 1/2 .

sin 20^(@) * sin 40^(@) * sin 60^@ * sin 80^(@) =

SRISIRI PUBLICATION-IPE SCANNER (TEXUAL BITS)-Very Short Questions (2 marks) (Trigonometric Ratios, Transformations)
  1. Show that sin 1140^(@) cos 390^(@)-cos 780^(@) sin 750^(@) = 1//2.

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. Prove that sin^(2)42^(@)-cos^(2)78^(@).

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  16. Find the value of cos^(2)112 1/2-sin^(2)52 1/2.

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  17. Find the value of cos^(2)72^(@) - sin^(2) 54^(@).

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  18. Find the value of cos^(2)45^(@)-sin^(2)15^(@)

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  19. Find the period of f(x) = sin(5x+3)AA x in R.

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  20. Find the period of f(x) = cos(3x+5)+7

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