PLEASE HELPPPPPPP MEEEEEE
2 answers:
tan (π/6) + sin (5π/3) . cos (- 3π/4)
= tan 30° + sin 300° . cos (- 135°)
= tan 30° + sin (360° - 60°) . cos 135°
= tan 30° + (- sin 60°) . cos (180° - 45°)
= tan 30° + (- sin 60°) . (- cos 45°)
= tan 30° + sin 60° . cos 45°
= (1/3)√3 + (1/2)√3 . (1/2)√2
= (1/3)√3 + (1/4)√6
= (4/12)√3 + (3/12)√6
= (4√3 + 3√6)/12
Answer:
Option 2
Step-by-step explanation:
tan(pi/6) = 1/sqrt(3) = sqrt(3)/3
sin(5pi/3) = -sin(pi/3) = -sqrt(3)/2
cos(-3pi/4) = cos(pi/4) = -1/sqrt(2)
= -sqrt(2)/2
sqrt(3)/3 + -sqrt(3)/2 × -sqrt(2)/2
sqrt(3)/3 + sqrt(6)/4
Lcm: 12
[4sqrt(3) + 3sqrt(6)]/12
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