Subjects
Math
Trigonometry Topics

Trigonometry Questions

Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if one angle is forty-four times the other angle.

Smaller angle =

Math

Trigonometry Solutions

Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if one angle is forty-four times the other angle. Smaller angle =

A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the pole.
What is the height of the pole?
(1) 12 ft
(2) 12/3ft
(3) 18 ft
(4) 18/2 ft

Math

Trigonometry Solutions

A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the pole. What is the height of the pole? (1) 12 ft (2) 12/3ft (3) 18 ft (4) 18/2 ft

From the observation deck of a skyscraper, Meena measures a 45° angle of depression to a ship in the harbor below. If the observation deck is 862 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your a

Math

Trigonometry Solutions

From the observation deck of a skyscraper, Meena measures a 45° angle of depression to a ship in the harbor below. If the observation deck is 862 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.

Graph the following function over a one-period interval.
y = 3 sec 1/4 x
Choose the correct graph below.

Math

Trigonometry Solutions

Graph the following function over a one-period interval. y = 3 sec 1/4 x Choose the correct graph below.

Find the cosine of the angle between A and B with respect to the standard inner product on M22
A =[3 3] and B = [4 2]
[3 -1] [3 2]
Carry out all calculations exactly and round to 4 decimal places the final answer only

Math

Trigonometry Solutions

Find the cosine of the angle between A and B with respect to the standard inner product on M22 A =[3 3] and B = [4 2] [3 -1] [3 2] Carry out all calculations exactly and round to 4 decimal places the final answer only

Suppose tan(a) = 5/8, where 0 ≤ a ≤ π/ 2. The least solution to tan(3x) = 5/8 in [0, 2π) is x =

The greatest solution to tan(3x) = 5/8 in [0, 2π) is
x =

Math

Trigonometry Solutions

Suppose tan(a) = 5/8, where 0 ≤ a ≤ π/ 2. The least solution to tan(3x) = 5/8 in [0, 2π) is x = The greatest solution to tan(3x) = 5/8 in [0, 2π) is x =

Information about △ABC is given.
Determine all remaining information about the triangle. Answers must be accurate to three decimal places. If there are multiple triangles with the given information, determine all of them. If a triangle cannot be solv

Math

Trigonometry Solutions

Information about △ABC is given. Determine all remaining information about the triangle. Answers must be accurate to three decimal places. If there are multiple triangles with the given information, determine all of them. If a triangle cannot be solved, explain why not. a) A = 60°2 a = 52 b= 6 b) a = 3, b = 8, c = 50°

Let ∠D be an acute angle such that cos D=0.64. Use a calculator to approximate the measure of ∠D to the nearest tenth of a degree.
m∠D ≈ _____.
Let ∠D be an acute angle such that tan D = 0.72. Use a calculator to approximate the measure of ∠D to the

Math

Trigonometry Solutions

Let ∠D be an acute angle such that cos D=0.64. Use a calculator to approximate the measure of ∠D to the nearest tenth of a degree. m∠D ≈ _____. Let ∠D be an acute angle such that tan D = 0.72. Use a calculator to approximate the measure of ∠D to the nearest tenth of a degree.

The point P(x, y) on the unit circle that corresponds to a real number t is given. Find the value of the indicated trigonometric function at t.
(3/4, √7/4) Find sin t.

A) 3/4
B) 3√7/7
C) √7/3
D) √7/4

Math

Trigonometry Solutions

The point P(x, y) on the unit circle that corresponds to a real number t is given. Find the value of the indicated trigonometric function at t. (3/4, √7/4) Find sin t. A) 3/4 B) 3√7/7 C) √7/3 D) √7/4

Complete the following table of values. Express
all answers using exact arithmetic--no decimal numbers.
Use "sqrt()" if the answer includes a square root.
A 30° 45° 60°
sin(A)

Math

Trigonometry Solutions

Complete the following table of values. Express all answers using exact arithmetic--no decimal numbers. Use "sqrt()" if the answer includes a square root. A 30° 45° 60° sin(A) ______ ______ ______ cos(A) ______ ______ ______ tan(A) ______ ______ ______ cot(A) ______ ______ ______ sec(A) ______ ______ ______ csc(A) ______ ______ ______

Sketch the graph of y = tan( x + π/4) within the interval ( – 2π, 2π)
a) What is the period?
b) Write the formula for the vertical asymptotes: x =
where k is an odd integer,
c) List the vertical asymptotes within ( – 2π, 2π): x =
d) List all x inter

Math

Trigonometry Solutions

Sketch the graph of y = tan( x + π/4) within the interval ( – 2π, 2π) a) What is the period? b) Write the formula for the vertical asymptotes: x = where k is an odd integer, c) List the vertical asymptotes within ( – 2π, 2π): x = d) List all x intercepts as ordered pairs (x, 0) such that – 2π < x < 2π:

π/3 is the reference angle for 2π/3 and cos (2π/3) = -cos(π/3)
For each angle, find its reference angle.
Rewrite the trig values using the reference angle.
(A) Nearest x-axis angle for 38/7π
(B) Reference angle for 38/7π
(C) sin (38/7π) =
(D) cos (38

Math

Trigonometry Solutions

π/3 is the reference angle for 2π/3 and cos (2π/3) = -cos(π/3) For each angle, find its reference angle. Rewrite the trig values using the reference angle. (A) Nearest x-axis angle for 38/7π (B) Reference angle for 38/7π (C) sin (38/7π) = (D) cos (38/7π) = (E) tan (38/7π) = (F) Nearest x-axis angle for 39/7π (G) Reference angle for 39/7π (H) sin (39/7π) = (I) cos (39/7π) = (J) tan (39/7π) =

Get homework help from verified tutors

Create account for free to start getting homework help from real tutors 24/7

SIGN-UP AND TRY IT FREE