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

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

A

`sqrt2`

B

`1//sqrt2`

C

`sqrt3`

D

`1//sqrt3`

Text Solution

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The correct Answer is:
C
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(sin70^(@)+cos40^(@))/(cos70^(@)+sin40^(@))

(sin70^(@)+cos40^(@))/(cos70^(@)+sin40^(@))=

(sin70^(@)+cos40^(@))/(cos70^(@)+sin40^(@))=

cos70^(@)+sin40^(@)=

(sin70^(@)+cos40^(@))/(cos70^(@)+sin40^(@))=?

Prove that (i) sin 70^(@) cos 10^(@) -cos 70^(@) sin 10^(@) =(sqrt(3))/(2) (ii) cos 50^(@) cos 10^(@) -sin 50^(@) sin 10^(@) =(1)/(2) (ii) cos 80^(@) cos 20^(@) + sin 80^(@) sin 20^(@) =(1)/(2) (iv) sin 36^(@) cos 9^(@) + cos 36^(@) sin 9^(@) =(1)/(sqrt(3))

What is the value of (cos 40^@ -cos 140^@)//(sin 80^@ + sin 20^@) ?

sin 70^(@)cos 10^(@) - cos 70^(@) sin 10^(@) = _________

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS OF COMPOUND ANGLES AND FACTORIZATION FORMULAE-MCQs
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