SohCahToa
Formulas
Examples
Examples
Miscellaneous
100
When dealing with right triangles in the first quadrant, how do you find sineΘ?
opp/hyp
100
Name 3 reciprocal identities without using your index card
sin-1/csc cos-1/sin tan-1/cot csc-1/sin sec-1/cos cot- 1/tan
100
Simplify: CotΘ/ TanΘ
Cot^2Θ
100
Simplify: cscΘ/ secΘ
cotΘ
100
What are 2 ways you can write Cos?
adj/hyp and 1/sin
200
True or False: When dealing with right triangles in the first quadrant, you can use SohCahToa to find the missing side or angle with only ONE side given?
True!!
200
Which identity is the following equation: csc^2A= 1+ cot^2A?
Pythagorean Identities
200
Simplify: tanAcos^2A
SinAcosA
200
Simplify: tanβsinβ
sin^2β / cosβ
200
what are 2 ways you can write sin?
1/csc and opp/hyp
300
What does the acronym "SohCahToa" stand for?
Sine-opp/hyp Cosine-adj/hyp Tangent-opp/adj
300
Name all 3 pythagorean identities
cos^2A+sin^2A=1 tan^2A+1=sec^2A 1+cot^2A=csc^2A
300
Simplify: cosΘtanΘcscΘ
1
300
Simplify: cotβsecβcscβ
csc^2β
300
When solving trig expressions that involve tan, why do you normally use sin/cos and not 1/cot?
Although tan can be re-written as sin/cos and 1/cot, use the expression that is more relevant to the situation so that the sin's or cos's could cancel out.
400
How do you find a missing side or angle of a triangle in the first quadrant given the hypotenuse? (Other than using pythagorean's theorem)
sin, cos, csc, and sec.
400
What are the 3 identities called that is used to solve basic trig identities
reciprocal identities quotient identities pythagorean identities
400
Simplify: (cosΘ)/(secΘ-tanΘ)
cosΘ
400
Simplify: cotΘ/ tanΘ
cot^2Θ
400
Can Tan and Cot be used to find a missing side of a triangle in the first quadrant when given only the hypotenuse?
NO! You can only use sin,cos,csc, and sec when finding a missing side of a triangle in the first quadrant given the hypotenuse
500
List the inverses of Sine,Cosine, and Tangent, and explain how these can be used to solve for a missing side or angle.
Csc- hyp/opp Sec- hyp/adj Cot- adj/opp
500
Using the quotient indentities, how can you re-write: sinΘ / cotΘ= tanΘ
SinΘ= tanΘcosΘ
500
Simplify: Tanβcotβ
1
500
Simplify: (sinΔ) / (secΔ- tanΔ)
sinΔ
500
What are 3 ways you can write Tan?
opp/adj and sin/cos and 1/cot