1,063 Answered Questions for the topic Pre-Calculus

Pre Calculus Precalculus Pre Calculus

12/13/20

Evaluate the sine, cosine, and tangent of the angle without using a calculator.

-7๐œ‹/6sin (๐œƒ) = cos (๐œƒ) =๏ปฟtan (๐œƒ) =
Pre Calculus Precalculus Pre Calculus

12/13/20

State the quadrant in which ๐œƒ lies.

sin(๐œƒ) < 0 and cos(๐œƒ) < 0a. Ib. IIc. IIId. IV
Pre Calculus Precalculus Pre Calculus

12/13/20

The point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle.

(5,ย โˆ’9)sin (๐œƒ) =cos (๐œƒ) =tan (๐œƒ) =csc (๐œƒ) =sec (๐œƒ) =cot (๐œƒ) =
Pre Calculus Precalculus Pre Calculus

12/13/20

Find the reference angle ๐œƒโ€‰' for the special angle ๐œƒ.

๐œƒย =ย โˆ’305ยฐ๐œƒโ€‰'ย =Sketchย ๐œƒย in standard position and labelย ๐œƒโ€‰'. left (a), right (b), down below left (c), down below right (d)
Pre Calculus Precalculus Pre Calculus

12/13/20

A six-foot person walks from the base of a streetlight directly toward the tip of the shadow cast by the streetlight... (more down below)

When the person is 12 feet from the streetlight and 5 feet from the tip of the streetlight's shadow, the person's shadow starts to appear beyond the streetlight's shadow.(a) Draw a right triangle... more
Pre Calculus Precalculus Pre Calculus

12/13/20

Use the given value and the trigonometric identities to find the remaining trigonometric functions of the angle.

sec(๐œƒ) = -3/2, cot(๐œƒ) < 0sin(๐œƒ) = cos(๐œƒ) =tan(๐œƒ) = csc(๐œƒ) =๏ปฟcot(๐œƒ) =
Pre Calculus

12/11/20

Which sequence is defined by the following recursive formula a1=-2 an+1 =2an+4

a-2, 2, 6, 10, ... b-2, -8, -12, -20, ... c-2, 0, 4, 12, ... d-2, 8, 20, 44, ...

12/09/20

In Problems i-iv,

a) Find the slope of the line that passes through the given points.b) Find the point-slope form of the equation of the line.c) Find the slope-intercept form of the equation of the line.d) Find the... more

12/09/20

6. In Problems i-iv, find each of the following: a) Intercepts b) Vertex c) Maximum or minimum d) Range

i) m(x) = (๐‘ฅ+1)2 โ€“ 2 ii) n(x) = (๐‘ฅโˆ’4)2 โ€“ 3please solve, thank you very much in advance.
Pre Calculus Calculus Pre Calculus

12/09/20

3. If f(x) = x -1 and g(x) = 1/๐‘ฅ+1 ,

find the following functions i) f(g(x)) ii) g(f(1/2) please solve both the parts , thank you.
Pre Calculus Math Precalculus Algebra

12/08/20

What is his speed and the wind speed

A man flies a small airplane from cargo to Bismarck. North Dakotaโ€” a distance of 180 miles. Because he is flying into a head wind the trip takes him 2 hours. On the way back the wind is still... more
Pre Calculus Precalculus Pre Calculus

12/07/20

Convert these from general form to standard form.

Determine the standard form of equation of the ellipse whose general form is given. 4x2 + 3y2 - 8x +6y - 5 = 0 9x2 + 10y2 + 54x + 100y +241 = 0 4x2 + 9x2 - 32x - 36y +64 = 0 5x2 + 9y2 +20x -180y +... more
Pre Calculus

12/05/20

Can someone help me with a math problem?

Find the 30th term of an arithmetic sequence with the first term of 40 and a common difference of -6
Pre Calculus Precalculus Pre Calculus

12/04/20

Estimate the angle to the nearest one-half radian.

________ radians
Pre Calculus Precalculus Pre Calculus

12/04/20

Find the length of the arc on a circle of radius r intercepted by a central angle ๐œƒ. (Round your answer to two decimal places.)

Radius r (12 feet)Central angle ๐œƒ (๐œ‹/4 radians)Arc length s: ______ feet๏ปฟ
Pre Calculus Precalculus Pre Calculus

12/04/20

Find (if possible) the complement and supplement of the angle. (Enter NONE in any unused answer blanks.)

3๐œ‹/4complement:supplement:
Pre Calculus Precalculus Pre Calculus

12/04/20

Rewrite each angle in degree measure. (Do not use a calculator.)

(a) 7๐œ‹/2_____ ยฐ(b) 22๐œ‹/15_____ ยฐ
Pre Calculus Precalculus Pre Calculus

12/04/20

Evaluate (if possible) the six trigonometric functions of the real number t. (If not possible, enter IMPOSSIBLE.)

t = 3๐œ‹ / 2sin (t) =cos (t) = tan (t) =csc (t) = sec (t) = cot (t) =
Pre Calculus Precalculus Pre Calculus

12/04/20

Construct an appropriate triangle to complete the table. (0 โ‰ค ๐œƒ โ‰ค 90ยฐ, 0 โ‰ค ๐œƒ โ‰ค ๐œ‹/2)

Function: cscย ๐œƒ (deg): ______ย ๐œƒ (rad): ______๏ปฟFunction value: โˆš2

12/02/20

Continuous Exponential Growth Model

The mass of a substance, which follows aย continuous exponential growth model, is being studied in a lab. A sample increases continuously at a relative rate ofย 16%ย per day. Find the mass of the... more

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