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  1. Problems
  2. /Trigonometry
  3. /Trigonometric Functions and Graphs

Trigonometric Functions and Graphs

Mathematics
+ Upload a Problem
More in TrigonometryTrigonometric RatiosTrigonometric IdentitiesHeights and DistancesAngles and Radian MeasureTrigonometric Functions and GraphsCompound and Multiple AnglesTrigonometric Equations
11 problems
Type:
1.
How many real solutions does the equation sin x = x/10 have? New
High School (11–12) · Trigonometric Functions and GraphsStemPy LabStemPy Lab
Hard
2.
For y = -2 cos(3x + π), find the amplitude, the period (to 3 decimal places) and the range. New
High School (11–12) · Trigonometric Functions and GraphsStemPy LabStemPy Lab
Medium
3.
The depth of water in a harbour is h = 6 + 2.5 sin (π t)/6 metres, t hours after midnight. New
High School (11–12) · Trigonometric Functions and GraphsStemPy LabStemPy Lab
Medium
4.
Find the period of f(x) = |sin x| + |cos x|. New
High School (11–12) · Trigonometric Functions and GraphsStemPy LabStemPy Lab
Hard
5.
An angle x has sec x < 0 and cot x > 0. In which quadrant does x lie? New
High School (11–12) · Trigonometric Functions and GraphsStemPy LabStemPy Lab
Easy
6.
Find tan 1230°, exactly and as a decimal to 3 places. New
High School (11–12) · Trigonometric Functions and GraphsStemPy LabStemPy Lab
Medium
7.
Find cos(-23π/4) exactly, and as a decimal to 3 places. New
High School (11–12) · Trigonometric Functions and GraphsStemPy LabStemPy Lab
Easy
8.
For which values of x with 0 ≤ x < 2π is sin x = cos x? New
High School (11–12) · Trigonometric Functions and Graphs, Trigonometric IdentitiesStemPy LabStemPy Lab
Hard
9.
An angle x lies between π/2 and π, and tan x = -3/4. Find sin x and cos x. New
High School (11–12) · Trigonometric Functions and Graphs, Trigonometric IdentitiesStemPy LabStemPy Lab
Medium
10.
Prove that, wherever both sides are defined: (1 + tan² x) cos² x = 1; (sin x)/(1 + cos x) + (1 +… New
High School (11–12) · Trigonometric Functions and Graphs, Trigonometric IdentitiesStemPy LabStemPy Lab
Medium
11.
The point P on the unit circle at angle x has cos x = -20/29, and P lies below the x-axis. New
High School (11–12) · Trigonometric Functions and Graphs, Trigonometric IdentitiesStemPy LabStemPy Lab
Easy