Solving Trig Equations
Solve for x
2sin(x)−1=0
For 0≤x<2π
What is x=pi/6 or x=5pi/6?
What is the amplitude of
y=3cos(x)?
What is 3?
In a right triangle, it's the side opposite the right angle?
What is the hypotenuse?
This is the Law of Sines formula.
What is sinA/a = sinB/b = sinC/c
The length of an arc formed by a sector with a central angle of 2 radians in a circle with a radius of 5 in.
What is 10 in?
Solve for x:
tan(x)+1=0
for 0≤x<π
What is x = 3pi/4?
What is the period of
y=sin(2x)?
What is π (pi)?
If opposite side is 3 and adjacent is 4, it's the value of tan(θ)
What is 3/4?
The triangle shortcuts for which you use the Law of Sines versus the Law of Cosines.
What is Law of Sines for ASA/AAS/SSA; Law of Cosines for SAS/SSS?
The exact arc length of a 60° sector in a circle with radius 6 cm.
What is 2π cm?
Solve:
sin^2(x)−1=0
for 0≤x<2π
.
What is x=pi/2 or x=3pi/2?
The phase shift of
y=cos(x−π/2)
What is shifted right by π/2?
Given a hypotenuse of 10 and an angle of
30°, it's the length of the opposite side
What is 5?
The length of side a if A=30°, B=45°, and b=10.
.
The exact area of a sector with a central angle of 45°, and a radius of 8 mm.
What is 8π mm2?
Solve for all solutions:
sin(x)cos(x)=0
.
What is pi/2*n?
What are the vertical asymptotes of
y=tan(x)?
What is x=pi/2+pi(n)?
If cos(θ)=5/13, it's the exact value of sin(θ)?
What is 12/13?
The length of side c if a=5, b=7, and C=60°.
.
The central angle (in exact radians) of a sector with radius of 4 cm and an area of 8π cm2.
What is 4π?
Find all solutions for
2cos^2(x)+cos(x)−1=0
An equation for a sine function with amplitude 2, period pi, and no phase shift.
What is y=2sin(2x)?
A ladder 15 ft long leans against a wall, making a 60° angle with the ground. How high up the wall does it reach?
The classification by angle measure (acute, right, or obtuse) of a triangle with sides 3, 4, and 6.
What is obtuse?
The area of the segment formed by a sector with radius 5 and central angle 2 radians.
What is 25sin(2)−25 ≈ 2.27 square units?