Question

2cos 10+ sin100 +sin1000 + sin 10000 simplifies to ???
A) cos10
B) 3cos10
C) 4cos10
D) 5cos10

Answer 1

Answer:

2 cos10°+ sin100° +sin1000° + sin 10000°= 5 cos10°

option (D) is correct

Step-by-step explanation:

Formula used:

sin(90°+A) = cosA

sin(270°+A) = cosA

2 cos10°+ sin100° +sin1000° + sin 10000°

=2cos10°+ sin(90°+10°)+sin(2*360°+280°)+ sin(27*360°+280°)

=2cos10°+ cos10°+sin280°+ sin280°

=3cos10°+2sin280°

=3cos10°+2sin(270°+10°)

=3cos10°+2cos10°

=5cos10°

Answer 2

Answer:cos10

Step-by-step explanation:

After simplifying,

2cos10+cos10-cos10-cos10