Mathematics
Senior High
Solved
tan165°の答えが合わない理由を教えてください
(2) sin 165° = sin (120° +45°)
= sin 120° cos 45° +cos 120° sin 45°
=
√√3 1
2
2
+ (-1/2) +-+-+ /20
√√2
1/27 - 12/20
√6-√2
4
√3-1
2√2
1000
cos 165° = cos(120° +45°)
= cos 120° cos 45° - sin 120° sin 45°
10-√3001
√2 8002 √2
1+√302 √6 + √2
2√2
4
1 mies
-√3+1
1- (-√3).1
(1-√3) 2
(1+√3) (1-√3)
1- (0 200-S
tan 165° = tan (120° +45°) __tan 120° + tan 45°
1-tan 120°tan 45°
-√3+1
1+√3
4-2√3
-2
= √3-2
252
(2) sin 165° = (45° f (20°)
=1/1/2×(-1/2)+
=
-1-√3
2√2
-√2+√6
4
√2
X
√2₂
tan (65° cos (65°
sin 165°
-√2-√√6
-√2+√√6
(√2+√6)
√2+√6
-2-√√√₂-√2-6
-2+6
-8-2√2
4
cos(65° = (45°+ (20⁰)
= £x ( - £) - £x €3
-8-4√3
4
D
P
E
2√2
2√2
-1-13 2
242X2
-√√2-16
Answers
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