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Find the sign of expression sin100°+cos100°

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Find the sign of expression sin100°+cos100°
  • 2 answers

Jaya Jeevan 3 years, 5 months ago

Sin 100° + cos 100° = sin 100° + cos ( 90°+10°) =sin 100°+(-sin10°) (By the formula cos (π/2+x)= -sin x) =2 cos((100+10)/2)* Sin((100-10) /2) =2cos 55°*sin45° =2cos 55°* 1/√2 =√2*√2 cos 55°*1/√2 =√2cos 55° Or = (1.4)*(0.57) =0.8

Gaurav Seth 3 years, 5 months ago

sin 100° + cos 100°

= sin100° + cos(90°+10°)
[cos 10° becomes sin 10°]

= sin100° + sin 10°

by the formula,

sin C + sin D = 2cos sin

= 2cos sin

= 2cos  sin 

= 2cos55° + sin45°

= 2cos55° + 1/√2

=√2.√2 cos55° .1/√2

= √2cos55°

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