Vasalle Trigonometric Identities+ Review

Identities

100

1 / (sin x)

What is csc x?

200

(sin x) / (cos x)

What is tan x?

300

1 / (sec x)

What is cos x?

400

(cos x) / (sin x)

What is cot x?

500

cos (-x)

What is cos x?

Solving with sum/difference identities

100

sin165^o

(sqrt(2)-sqrt(6))/4

200

tan15^o

2-sqrt(3)

300

cos285^o

(sqrt(6)-sqrt(2))/4

400

sin195^o

(sqrt(2)-sqrt(6))/4

500

cos75^o

(sqrt(6)-sqrt(2))/4

Pythagorean Identities

100

sin²x + cos²x

What is 1?

200

1 + cot²x

What is csc²x?

300

1 - cos²x

What is sin²x?

400

sec²x - 1

What is tan²x?

500

1 - csc²x

What is -cot²x ?

Sum/Difference Identities

100

Expand cos (A - B)

What is cos A cos B + sin A sin B?

200

sin 125 cos 95 - cos 125 sin 95

What is 1/2?

300

sin 75^o

(sqrt6+sqrt2)/4

400

cos 165^o

(-sqrt6-sqrt2)/4

500

cos 15^o

(sqrt6+sqrt2)/4

Ancient History

100

sin 30

What is 1/2?

200

tan 135

What is -1?

300

11pi/6 radians to degrees

What is 330 degrees?

400

Factor 4x² - 9

What is (2x + 3)(2x - 3)

500

Name how many triangles given A=62^o, a=12, and b=19.

No triangles