Question

find the exact values of sine cosine and tangent of the angle 7pi/12 = pi/3 + pi/4 PLEASE EXPLAIN I have no notes thanks to SCVSP

Answer 1

sin(7π / 12)
sin105
sin(60 + 45)
sin60cos45 + cos60sin45
(√3 / 2)(1 / √2) + (1 / 2)(1 / √2)
√3 / 2√2 + 1 / 2√2
(√3 + 1) / 2√2
(√6 + √2) / 4

cos(7π / 12)
cos105
cos(60 + 45)
cos60cos45 - sin60sin45
(1 / 2)(1 / √2) - (√3 / 2)(1 / √2)
1 / 2√2 - √3 / 2√2
(1 - √3) / 2√2
(√2 - √6) / 4

tan(7π / 12)
tan105
tan(60 + 45)
(tan60 + tan45) / (1 - tan60tan45)
(√3 + 1) / (1 - √3)
(√3 + 1)(√3 + 1) / (1 - √3)(√3 + 1)
(3 + 2√3 + 1) / (√3 + 1 - 3 - √3)
(4 + 2√3) / (-2)
-2 - √3

Answer 2

I dont really know how to explain, sorry

Answer 3

Its alright ill try to figure it out

Answer 4

maybe @yellowlegoguy99 can help