what is soahcahtoa used for ?
right angle triangles
what is the sine rule?
a/sinA=b/sinB=c/sinC
what is the equation for area of a triangle?
area = 1/2 a b sin C
or 1/2 bh
what is the cosine rule?
a²= b²+ c² - 2bc cos A
what are the two trig identities?
tan θ = sin θ / cos θ
and
sin²θ + cos²θ = 1
what are the sine/cosine periods ?
360 degrees or 2 pi radians
what is the tangent period?
180 degrees or 1 pi radians
what is the range for sin theta and cos theta?
-1,1
what is the range for tan theta?
is all real numbers
R
how to calculate area of a sector?
1/2 r^2 θ
(theta in radians)
how to calculate arc length?
r(θ)
theta in radians
what is the conversion for radians
pi radians = 180 degrees
ie 2 pi radians = 360 degrees
what is the reciprocal trig function for sec theta
secθ=1/cosθ
what is the reciprocal trig function for cosec theta
cosecθ=1/sinθ
what is the reciprocal trig function for cot theta
cotθ=1/tanθ
what is SOHCAHTOA
SOH = sinθ = opp/adj
CAH = cosθ = adj/hyp
TOA = tanθ = opp/adj
what is hypotenuse
The longest side of a right-angled triangle, opposite the
90 dg angle.
what is opposite
The side opposite the angle θ
how to calculate segment area
1/2 r^2(θ-sinθ)
what is the pythagorean identity
sin^2 θ + cos^2 θ = 1
what is the tan graph period
180 dg
what is the sin / cos graph period
360 dg
quotient identity
tan θ = sin θ / cos θ
secant / tangent identity
1 + tan^2 θ = sec^2 θ