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Trigometric Identities- x/2, 2x, a+b, a-b

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ckyme
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Last updated: March 14, 2025
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First submittedMarch 14, 2025
Times taken33
Average score50.0%
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Hint
Answer
sin(a+b)
sinacosb+cosasinb
cos(a+b)
cosacosb-sinasinb
tan(a+b)
(tana+tanb)/(1-tanatanb)
sin(a-b)
sinacosb-cosasinb
cos(a-b)
cosacosb+sinasinb
tan(a-b)
(tana-tanb)/(1+tanatanb)
sin2x
2sinxcosx
cos2x
cosx^2+sinx^2
Hint
Answer
cos2x
2cosx^2-1
cos2x
1-2sinx^2
tan2x
(2tanx)/(1-tanx^2)
sin(x/2)
+-sqrt((1-cosx^2)/2)
cos(x/2)
+-sqrt((1+cosx^2)/2)
tan(x/2)
+-sqrt((1-cosx)/(1+cosx))
tan(x/2)
(1-cosx)/(sinx)
tan(x/2)
(sinx)/(1+cosx)
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1 Comments
goofynoodles
+1
Level 40
Mar 25, 2026
cos2x = cos^2(x)-sin^2(x)
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