9,261 Answered Questions for the topic trigonometry

Trigonometry Calculus Precalculus

10/01/23

The area 𝒜 of a triangle with sides of lengths a and b and with included angle 𝜃 is given by the formula 𝒜 = ______  . 

The area 𝒜 of a triangle with sides of lengths a and b and with included angle 𝜃 is given by the formula 𝒜 = ______  . So the area of the triangle with sides 4 and 5 and included angle 𝜃 = 30° is_____ more
Trigonometry Calculus Precalculus

10/01/23

Find the indicated side x. (Use either the Law of Sines or the Law of Cosines, as appropriate. Assume a = 46 and c = 43. Round your answer to one decimal place.) x =

Find the indicated side x. (Use either the Law of Sines or the Law of Cosines, as appropriate. Assume a = 46 and c = 43. Round your answer to one decimal place.)x = 
Trigonometry Calculus Precalculus

10/01/23

Find the indicated side x. (Use either the Law of Sines or the Law of Cosines, as appropriate. Assume ∠A = 40° and ∠B = 105°. Round your answer to two decimal places.) x =

Find the indicated side x. (Use either the Law of Sines or the Law of Cosines, as appropriate. Assume ∠A = 40° and ∠B = 105°. Round your answer to two decimal places.)x =
Trigonometry Calculus Precalculus

10/01/23

Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) a = 20, b = 42, c = 28

Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.)a = 20,    b = 42,    c = 28
Trigonometry Calculus Precalculus

10/01/23

Use the Law of Cosines to determine the indicated side x. (Assume a = 21 and c = 33. Round your answer to one decimal place.) x =

Use the Law of Cosines to determine the indicated side x. (Assume a = 21 and c = 33. Round your answer to one decimal place.)x =
Trigonometry Calculus Precalculus

10/01/23

Use the Law of Cosines to determine the indicated side x. (Assume b = 18 and c = 36.

Use the Law of Cosines to determine the indicated side x. (Assume b = 18 and c = 36. Round your answer to one decimal place.)x =
Trigonometry

09/29/23

Applications of Trigonometric Functions

An object is attached to a coiled spring. The object begins at its rest position at t=0 seconds. It is then propelled downward. Write an equation for the distance of the object from its rest... more
Trigonometry

09/29/23

Applications of Trigonometric Functions

A forest ranger sights a fire directly to the south. A second ranger, 9 miles east of the first ranger, also sights the fire. The bearing from the second ranger to the fire is S 35 degrees W. How... more
Trigonometry

09/29/23

Applications of Trigonometric Functions

A piano tuner uses a tuning fork. If the B one octave below middle C has a frequency of 249 vibrations per second, write an equation in the form of d=sin wt for the simple harmonic motion.
Trigonometry

09/29/23

Applications of Trigonometric Functions

The angle of elevation to the top of a building changes from 28 degrees to 56 degrees as an observer advances 170 feet toward the building. Find the height of the building, x, to the nearest foot
Trigonometry

09/28/23

Applications of Trigonometric Functions

A helicopter hovers 950 feet above a small island. The figure shows that the angle of depression from the helicopter to point P on the coast is 35 degrees. How far off the coast, to the nearest... more

09/27/23

Short Answer Question Show work please

Billy walks around a square city block. On the first side his speed is 1 mph, on the second side his speed is 2 mph, on the third side his speed is 3 mph, and on the fourth side his speed is 4 mph.... more
Trigonometry

09/26/23

A deer runs 88 feet to the east, then turns and runs at an angle of 11 ° north of west for 127 feet. What is the direction of the deer's resultant vector?

Asked before but I meant to put direction not magnitude, thank you!
Trigonometry Calculus Precalculus

09/25/23

The area of a sector of a circle with a central angle of 120° is 68 m2.  Find the radius of the circle.

The area of a sector of a circle with a central angle of 120° is 68 m2. Find the radius of the circle. (Round your answer to one decimal place.) m
Trigonometry Calculus Precalculus

09/25/23

Find the length s of the arc that subtends a central angle of measure 40° in a circle of radius 17 m.

Find the length s of the arc that subtends a central angle of measure 40° in a circle of radius 17 m. (Round your answer to two decimal places.)s =  m
Trigonometry Calculus Precalculus

09/24/23

This exercise involves the formula for the area of a circular sector.

This exercise involves the formula for the area of a circular sector.The area of a sector of a circle with a central angle of 5𝜋/12 rad is 19 m2. Find the radius of the circle. (Round your answer... more
Trigonometry

09/24/23

The area of a sector of a circle with a central angle of 5𝜋/12 rad is 19 m2. Find the radius of the circle.

This exercise involves the formula for the area of a circular sector.The area of a sector of a circle with a central angle of 5𝜋/12 rad is 19 m2. Find the radius of the circle. (Round your answer... more
Trigonometry Calculus Precalculus

09/24/23

This exercise involves the formula for the area of a circular sector.

This exercise involves the formula for the area of a circular sector.The area of a circle is 700 m2. Find the area of a sector of this circle that subtends a central angle of 2 rad. (Round your... more
Trigonometry Calculus Precalculus

09/24/23

This exercise involves the formula for the area of a circular sector.

This exercise involves the formula for the area of a circular sector.Find the area of a sector with central angle 7𝜋/8 rad in a circle of radius 14 m.
Trigonometry Calculus Precalculus

09/24/23

This exercise involves the formula for the area of a circular sector. The area of a sector of a circle with a central angle of 5𝜋/12 rad is 19 m2. find the radius of the circle

This exercise involves the formula for the area of a circular sector.The area of a sector of a circle with a central angle of 5𝜋/12 rad is 19 m2. Find the radius of the circle. (Round your answer... more
Trigonometry Calculus Precalculus

09/24/23

This exercise involves the formula for the area of a circular sector. The area of a sector of a circle with a central angle of 5𝜋/12 rad is 19 m2. find the radius of the circle

This exercise involves the formula for the area of a circular sector.The area of a sector of a circle with a central angle of 5𝜋/12 rad is 19 m2. Find the radius of the circle. (Round your answer... more
Trigonometry Calculus Precalculus

09/24/23

The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle.

The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. (Enter your answers as a comma-separated list.)The... more
Trigonometry Calculus Precalculus

09/24/23

The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. (Enter your answers as a comma-separated list.) 70°

The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with the given angle. (Enter your answers as a comma-separated list.)70°
Trigonometry Precalculus

09/22/23

Show the Steps for (sec 𝜃 + tan 𝜃)(sec 𝜃 − tan 𝜃) = 1.

Use trigonometric identities to transform the left side of the equation into the right side (0 < 𝜃 < 𝜋/2).(sec 𝜃 + tan 𝜃)(sec 𝜃 − tan 𝜃) = 1

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