# Tangent - practice problems

Tangent is a trigonometric function. In a rectangular triangle, it is the ratio of the opposite and adjacent side to a given internal angle. Algebraically is defined as the ratio of the sine and cosine of a given angle. It is periodic with a period of π = 180 °.#### Number of problems found: 252

- Cotangent

If the angle α is acute, and cotan α = 1/3. Determine the value of sin α, cos α, and tan α. - Hole's angles

I am trying to find an angle. The top of the hole is .625", and the bottom of the hole is .532". The hole depth is .250". What is the angle of the hole (and what is the formula)? - Tangent of an angle

Suppose the tangent of an angle of a right-angled triangle is 0.8. Then its longest side is: - Goniometric form

Determine the goniometric form of a complex number z = √ 110 +4 i. - Triangle

Calculate the area of the right triangle ΔABC if one leg is long 14 and its opposite angle is 59°. - Coordinates of square vertices

I have coordinates of square vertices A / -3; 1/and B/1; 4 /. Find coordinates of vertices C and D, C and D. Thanks, Peter. - One side

One side is 36 long with a 15° incline. What is the height at the end of that side? - Angle between lines

Calculate the angle between these two lines: p: -8x +4y +5 =0 q: 10x +10y -7=0 - Inscribed 3689

There is a triangle ABC whose perimeter is 2s (2s = a + b + c), and the circle k (S, ρ) is the inscribed circle of the triangle. Calculate the length of the tangent of the circle k from point A. - Find the 15

Find the tangent line of the ellipse 9x² + 16y² = 144 that has the slope k = -1 - Road

The angle of a straight road is approximately 12 degrees. Determine the percentage of this road. - Descent of road

The road sign informs us the gradient is 10.9%. Calculate the angle at which the average decreases. - Perpendicular 62824

The magnetic induction vector at a given field location has the direction: a) to the south magnetic pole b) tangent to the induction line c) to the north magnetic pole d) perpendicular to the tangent to the induction line - One side 4

One side of a regular octagon is 12 inches. Find the apothem and its area. - Sphere in cone

A sphere of radius 3 cm describes a cone with minimum volume. Determine cone dimensions. - Slope

What is the slope of a line with an inclination 3.96 rad? - Straight 30241

The straight road has a rise of 19%. How big is the pitch angle? - Circles

Three circles of radius 30 cm, 28 cm, and 37 cm are mutually tangent. What is the triangle perimeter whose vertices are the circles' centers? - Pilot

How high is the airplane's pilot to see 0.001 of Earth's surface? - Pentagonal pyramid

Calculate the volume of a regular 5-side (pentaprism) pyramid ABCDEV; if |AB| = 7.7 cm and a plane ABV, ABC has angle 37 degrees.

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