Question

sin 75° - sin 15°divided by cos 75° + cos 15°
answer with process​

Answer 1

Answer:

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Answer 2

Answer:

tan30=1/√3

Step-by-step explanation:

(sin75°-sin15°)/cos75°+cos15°

since sinA-sinB=2cos[(A+B)/2]sin[(A-B)/2]

and cosA+cosB=2cos[(A+B)/2]cos[(A-B)/2]

(sin75-sin15)/cos75+cos15

2cos[(75+15)/2]sin[(75-15)/2]/2cos[(75+15/2]cos[(75-15)/2]

=2cos[45]sin[30]/2cos[45]cos[30]

=sin30/cos30=tan30

=1/√3