The classification of a triangle with all sides of equal length and 3, 60-degree angles.
What is an Equilateral triangle?
List the nearest negative and positive coterminal angle of 27°.
What is -333° and 387°?
Determine the exact value of trig functions for all multiples of 30 or 45 degrees on the Unit Circle. (fill out a unit circle with the correct sin and cos values)
What is?
Define the amplitude, phase shift, period, vertical shift, and equation of the given cos function.
What is:(amplitude:3 phase shift: right 3 period: pi vertical shift: up 4
Equation: y = 3cos2(x-3)+4)?
State the simplified form of the expression cos(x)csc(x).
What is cot(x)?
Using the Pythagorean theorem, find the exact length of the hypotenuse of a triangle in which side a=10in and side b=14in.
What is 2961/2in?
Determine the sector area of a circle that has a radius of 5.5in and an angle measure of 43°. (Round to the nearest hundredth)
What is 4.13in2?
Conclude the exact value of the trigonometric function tan x at the angle (5pi)/4.
What is positive 1?
Model the function that would be created by the periodic data given. Use this model to predict the value of the function at x=-5pi/6, and x=5pi/6.
What is:(-5pi/6,-1/2), (5pi/6,1/2), and ?
After rewriting the trigonometric function (cos(x)+sin(x)tan(x)) in terms of sine and cosine, verify if it does, or does not equal the function (sec(x)). (Show work)
What is (cos(x)+sin(x)tan(x)) is equal to the function (sec(x))?
Work:
State the area of a right triangle in which side a=22m, and side b=13m.
What is 143m2?
Find the radius of a circle with an angle sector with an angle measure of 27°, and has an arc length of 14m. (Round to the nearest hundredth)
What is 29.71m?
The sin of an unknown angle is equal to -1/3 and the cos<0. Determine the quadrant in which the angle lies.
What is quadrant IV?
Given the expression arccos(-1/2), determine the exact value of the expression.
What is 120° (2pi/3)?
Verify whether or not the trig identities (tan(x)sin(X)) and (sec(x)-cos(x)) are equal through factoring, and combining fractions.(show work)
What is (tan(x)sin(X)) and (sec(x)-cos(x)) are equal?
Work:
Two triangles have similar angles, where angle A = angle X, angle B = angle Y, and angle C = angle Z. Triangle 1, which contains angles A, B, and C has side lengths b=10cm, and side a=12cm. Triangle 2, however, has a side length a=9cm. Based on what you know about similar triangles, state the length of side b.
What is 7.5cm?
List the exact trigonometric ratios used to find the acute angles of any right triangle.
What is: sin x =(Opp/Hyp), Cos x=(Adj/Hyp), Tan x(Opp/Adj)?
Determine the value of cos(35), given tan(35)=7.002/10. (Round to the nearest hundredth)
What is 12.21?
Determine the exact value of cos(arcsin(3/5)).
What is (4/5)?
Make designated trigonometric substitutions and simplify the resulting expressions
Substitute (1- sin^2(x)) for cos^2(x), and (1+cot^2(x)) for csc^2(x) in the equation ((1-sin^2(x))(1+cot^2(x))), and simplify.
What is cos^2(x)sin^2(x)?
Define the measure of the angle 138° in radians, and the measure of 1.3439 radians in degrees. (round to the nearest hundredth)
What is 2.41, and 77°?
Given a right triangle with the angle A=36° and side b=10ft, define the length of side a. (Round to the nearest hundredth)
What is 7.27ft?
Sketch the equation f(x)=2sin(2x-6)+1. list the equations amplitude, phase shift, vertical shift, and period, as well as labeling the maximum, minimum, and midline of the graph.
What is: Amp:2 Phase Shift: Right 3 Vertical shift: Up 1
Period: pi Max: 3 Min: -1 Mid: 1
?
If an 11ft ladder is leaning beside a tree, and the ladder reaches 5.5ft up the tree, determine the angle of elevation (C) through the use of an inverse trigonometric function.
What is 60° (pi/3)?