What is the formula for tan(a + b)?

rac{tan(a) + tan(b)}{1 - tan(a)tan(b)}

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Int. 3 Trigonometry Challenge

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Put your trigonometry knowledge to the test with these challenging questions on sine, cosine, and tangent functions.

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Questions 17

Answers

1
What is the formula for tan(a + b)?
rac{tan(a) + tan(b)}{1 - tan(a)tan(b)}
tan(a) + tan(b)
rac{tan(a) - tan(b)}{1 + tan(a)tan(b)}
tan(a)tan(b) - 1
2
What is the formula for cos(a + b)?
cos(a) - cos(b)
cos(a)sin(b) + sin(a)cos(b)
cos(a)cos(b) - sin(a)sin(b)
cos(a) + cos(b)
3
What is the formula for sin(a + b)?
sin(a) + sin(b)
sin(a)cos(b) + cos(a)sin(b)
sin(a) - sin(b)
sin(a)cos(b) - cos(a)sin(b)
4
What is cos(2a)?
cos^2(a) - sin^2(a)
cos(a) + cos(a)
1 - 2sin^2(a)
2cos^2(a) - 1
5
True or false: cos(a + b) = cos(a)cos(b) - sin(a)sin(b)
False
True
6
What is sin(a - b)?
sin(a) - sin(b)
sin(a) + sin(b)
sin(a)cos(b) + cos(a)sin(b)
sin(a)cos(b) - cos(a)sin(b)
7
True or false: tan(a - b) = rac{tan(a) - tan(b)}{1 + tan(a)tan(b)}
False
True
8
What is the relationship between sin and cos?
sin(a) + cos(a) = 1
sin(a) - cos(a) = 0
sin(a)cos(a) = 1
sin^2(a) + cos^2(a) = 1
9
True or false: sin(a + b) = sin(a) + sin(b)
True
False
10
What is tan(a + b)?
rac{tan(a) + tan(b)}{1 - tan(a)tan(b)}
tan(a)tan(b) - 1
tan(a) + tan(b)
rac{tan(a) - tan(b)}{1 + tan(a)tan(b)}
11
What is cos(a - b)?
cos(a) + cos(b)
cos(a) - cos(b)
cos(a)cos(b) + sin(a)sin(b)
cos(a)sin(b) - sin(a)cos(b)
12
What is sin(a + b) - sin(a - b)?
sin(a) + sin(b)
2cos(a)sin(b)
2sin(a)
sin(a) - sin(b)
13
What is sin(a + b) + sin(a - b)?
2sin(a)cos(b)
2sin(a)
sin(a) - sin(b)
sin(a) + sin(b)
14
What is sin(2a)?
sin(a)cos(a)
sin(a) - sin(a)
2sin(a)cos(a)
sin(a) + sin(a)
15
What is tan(2a)?
tan(a) + tan(a)
rac{tan(a)}{2}
rac{2tan(a)}{1 - tan^2(a)}
2tan(a)
16
What is cos(2a) in terms of sin?
2sin^2(a) - 1
1 - 2sin^2(a)
sin(a) + cos(a)
sin^2(a) + cos^2(a)
17
What is sin(a + b)?
sin(a) - sin(b)
sin(a)cos(b) - cos(a)sin(b)
sin(a) + sin(b)
sin(a)cos(b) + cos(a)sin(b)

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