SohCahToa
When dealing with right triangles in the first quadrant, how do you find sineΘ?
opp/hyp
Name one reciprocal identity.
sin-1/csc cos-1/sin tan-1/cot csc-1/sin sec-1/cos cot- 1/tan
Simplify: CotΘ/ TanΘ
1
Simplify: cscΘ/ secΘ
cotΘ
Give 3 ways you can write CosX?
adj/hyp, x/r and 1/sin
BLUFF or FACT: 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?
FACT
Which identity is the following equation: csc^2A= 1+ cot^2A?
Pythagorean Identities
Simplify: tanAcos^2A
SinAcosA
Simplify: tanβsinβ
sin^2β / cosβ
what are 2 ways you can write sin?
1/csc and opp/hyp
What does the acronym "SohCahToa" stand for?
Sine-opp/hyp Cosine-adj/hyp Tangent-opp/adj
Name all 3 pythagorean identities
cos^2A+sin^2A=1 tan^2A+1=sec^2A 1+cot^2A=csc^2A
Simplify: cosΘtanΘcscΘ
1
Simplify: cotβsecβcscβ
csc^2β
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.
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)
Use sin, cos, csc, and sec.
What are the 3 identities called that is used to solve basic trig identities
reciprocal identities
quotient identities
pythagorean identities
Simplify: (cosx)/tanx
cos2x / sinx
Simplify: cotΘ/ tanΘ
cot^2Θ
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
What is the reciprocal of csc x?
Sin x
Using the quotient identities, how can you re-write: sinΘ / cotΘ= tanΘ
SinΘ= tanΘcosΘ
Simplify: (sec2x - tan2x) / tan x
cot x
Simplify: (sin2Δ) / (sec2Δ- 1)
cosΔ
What are 3 ways you can write Tan?
opp/adj and sin/cos and 1/cot
or y/x