
Summative in Precalculus
Quiz by Farolito Arbiol
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In which quadrant does -285° angle lie?
To convert radians to degrees, we use the formula of ___________.
Using a calculator, express 95° 45 ‘ 45 ” in decimal degrees.
How many degrees is 1 and 1/5 of a complete revolution?
How many radians is 11/5 of a complete revolution?
What is the length of an arc of a circle with radius 4 cm that subtends a central angle of 216°?
Find the length of an arc of a circle with a radius of 6/π cm that subtends a central angle of 99°.
What is the smallest positive angle coterminal with 2110° ?
What is the coterminal angle of 85° ?
If tan A=4/5, determine 2sin A - cosA/3cos A.
Given sec θ = - 25/24 and π ≤ θ ≤ 3π/2, find sin θ + cos θ.
What is the reference angle of - 29π / 6?
For what angle θ in the third quadrant is cos θ= sin 5π /3?
If cos θ > 0 and tan θ = -2/3. Find sec θ + tan θ/ sec θ - tan θ.
What is sec^2 θ - csc^2 θ, if the terminal point of an arc of length θ lies on the line joining the original at the point (2, -6)?
If 3π/2 < θ < 2π, find θ if cos θ = sin 2π/3.
Identify the point on the unit circle corresponding to an angle of π/6 radians in standard position.
In what quadrant does it lie the angle -7π / 6?
Which point on the unit circle corresponds to tanθ = θ?
Find all values of x in the interval [-2π, 2π] that satisfy the equation (sin x - 1) (sin x + 1) =0.
Solve: 2 cos x tan x = 2 cos x.
Solve for x ∈ [0,2π): sin 2x = sin x.
Solve for x ∈ [0,2π): 2cos^2 x = 1 + sin x.
Solve: sin^2 x + 5 cos^2 x/2 = 2.
A lighthouse at sea level is 34 mi from a boat. It is known that the top of lighthouse is 42.5 mi from the boat and that x = r cos θ, where x is the horizontal distance, r is the angle of depression from the top of lighthouse. Find θ.
If a projectile, such as a bullet, is fired into the air with an initial velocity at an angle of elevation θ, then the height of the projectile at time is given by h(t) = - 16t^2 + vt cos θ meters. If the initial velocity is 109 meters per second, at what angle should the bullet be fired so that its height is 45 meters above the floor in 2 seconds.
2 sin x/2 cos x/2 is equivalent to
Simplify cos^2 15 degrees - sin^2 15 degrees.
If tan x = 6/8, what is cos 2x, given that 0 ≤ x ≤ π/2?
cos (x - 2π) is equivalent to