Question

simplify sin 100° + cos 100°

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Answer 1

sin 100° + cos 100°

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

= sin100° + sin 10°

by the formula,

sin C + sin D = 2cos $\frac {C+D} {2}$sin$\frac {C-D} {2}$

= 2cos $\frac {100+10} {2}$sin$\frac {100 -10} {2}$

= 2cos $\frac {110} {2}$ sin $\frac {90} {2}$

= 2cos55° + sin45°

= 2cos55° + 1/√2

=√2.√2 cos55° .1/√2

= √2cos55°

Answer 2

Answer:

Step-by-step explanation:

(cos 100 + sin 100 )/ (cos 100 - sin 100 ) is equal to