sin70⁰+cos40⁰/cos70⁰+sin40⁰
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Heya mate...
Answer:
√3
Step-by-step explanation:
sin70 +cos40 / cos70 + sin40
=sin70 + cos (90-50) / cos 70 + sin (90-50)
=sin70 + sin50 / cos70 + cos50
=sin (60+10) + sin (60-10) / cos (60+10) + cos (60-10)
=sin60 + sin10 + sin60 - sin10 / cos60 + cos10 + cos60 - cos10
=sin60 + sin60 / cos60 + cos60
=2sin60 / 2cos60
=sin60 / cos60
=tan60
= √3
Hope it helps....
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