Trigonometric Ratios
Inverse Trigonometric Ratios
Law of Sine
Law of Cosine
Random
100
What are the three trigonometric ratios and their meaning?
Sine = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
SOHCAHTOA
100
What buttons do you press on the calculator to get the inverse trigonometric ratios?
(2nd) + (cos) = cos-1
(2nd) + (sin) = sin-1
(2nd) + (tan) = tan-1
100
What is the measure of angle E?
55
100
How would you correctly fill in the formula for the following triangle?
a^2 =b^2 +c^2 - 2bc cosA
e^2 = 9^2 + 11^2 - 2(9)(11)cos(140)
e^2 = 11^2 + 9^2 - 2(11)(9)cos(140)
100
What is the name of the trigonometric ratio that uses "Adjacent" and "Hypotenuse"?
Cosine
(Cos)
200
Find the tangent of V
15/8
200
Solve for A. Round your answer to the nearest whole number
sin(A) = 0.4848
A = 29
200
Determine the measure of EF using the law of sine. Round your answer to the nearest whole number.
x/sin(43) = 15/sin(55)
x = 12.488... = 12
200
Determine the value of x using the law of cosine. Round your answer to the nearest whole number.
a^2 = b^2 +c^2 - 2bc cos(A)
x^2 = 8^2 + 12^2 - 2(8)(12)cos(138)
x^2 = 350.683...
x = 18.726... = 19
200
What is the name of the trigonometric ratio that uses "Adjacent" and "Opposite"?
Tangent
300
Find the sine of R
12/13
300
Using inverse trigonometric ratios, find the value of θ. Round your answer to the nearest whole number.
In relation to the missing angle, the following triangle gave the gave the opposite and the hypotenuse, which is sine.
therefore sin^-1 (12/17) = 44.9008... = 45
300
Determine the value of t using the law of sine. Round your answer to the nearest whole number.
t/sin(34) =21.3/sin(118)
t = 13.489... = 13
300
Determine the value of s using the law of cosine. Round your answer to the nearest whole number.
s^2 = 9^2 +8^2 - 2(9)(8) cos(111)
s^2 = 196.604...
s = 14.021 ... = 14
300
When dealing with trigonometric ratios of a triangle, should you have your calculator on "Radian" mode or "Degree" mode?
Degree mode
400
Find the cosine of X
33/65
400
Using inverse trigonometric ratios, find the value of ?. Round your answer to the nearest whole number.
In relation to the missing angle, the following triangle gave the adjacent and the hypotenuse, which is cos.
therefore cos^-1 (12/17) = 36.869... = 37
400
Determine the measure of PR using the law of sine. Round your answer to the nearest whole number.
x/sin(31) = 11/sin(99)
x = 5.736... = 6
400
What is the measure of 
Q to the nearest whole degree?
17^2 = 18^2 + 20^2 - 2(18)(20) cos(Q)
289 = 724 - 720cos(Q)
-435 = -720cos(Q)
0.6041... = cos(Q)
cos^-1 (0.6041...) = Q
Q = 52.831... = 53
400
Cosecant is the inverse of which trigonometric ratio?
Sine
(Sin)
500
Find the tangent of X
12/5
500
Using inverse trigonometric ratios, find the value of ?. Round your answer to the nearest whole number.
In relation to the missing angle, all three options are given. Which means you can use any of the three ratios
cos^-1 (48/50) = 16.26... = 16
sin^-1 (14/50) = 16.26... = 16
cos^-1 (14/48) = 16.26... = 16
500
Determine the measure of w using the law of sine. Round your answer to the nearest whole number.
w/sin(39) = 3.3/sin(31)
w = 4.032... = 4
500
Determine the value of θ using the law of cosine. Round your answer to the nearest whole number.
a^2 = b^2 +c^2 - 2bc cos(A)
300^2 = 200^2 +250^2 - 2(200)(250) cos(theta)
90000=102500-100000 cos(theta)
-12500 = -100000 cos(theta)
0.125 = cos(theta)
cos^-1 (0.125) = theta
theta = 82.819 ... = 83
500
Which law is listed below?
a/sin(A) = b/sin(B) = c/sin(C)
Law of Sine