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Trigonometry

Trigonometry is a field of mathematics. It is the study of triangles. Trigonometry includes planar trigonometry, spherical trigonometry, finding unknown values in triangles, trigonometric functions, and trigonometric function graphs.

3,810 Questions

How do you find the radius and theta only knowing the arc length and area?

A=pi*r^2, so to find the radius, divide the area by pi and take the square root of that quotient. theta/360=arc length/circumference. C=2pi*r, so multiply the radius you found above by 2pi. Then you have theta/(known value)=(known value)/(known value), so you can now solve for theta!

If tgX equals 2 what is the value of cosX and why?

Draw a right triangle. To get a tangent of 2, the side opposite the angle might be 2, the adjacent side might be 1 (other combinations, in the ratio 2:1, are also possible). In this case, the hypothenuse is square root of 5 (Law of Pythagoras). Therefore, the cosine is 1 / square root of 5.

The string on a kite is tight and makes an angle of 25 degrees with the horizontal Find the height of the kite if 150 feet is let out and the end of the string is 4.5 feet above the ground?

Use the sine ratio to find the height of the kite:

sine = opposite (height of kite with the horizontal) divided by the hypotenuse (the string)

Rearrange the formula:

sine*hypotenuse = opposite

sine 25 degrees*150 = 63.39273926 feet

Height of kite above the ground: 63.39273926+4.5 = 67.89273926 feet

Therefore the kite is 68 feet above the ground to the nearest foot

What is the Angle of elevation of Qutub Minar when you are at a distance of 5metre using trigonometry?

If you are looking for the angle of elevation from the ground to the top of Qutub Minar, here is a solution. Qutub Minar is 72.5 meters tall. The angle of elevation would equal arctan(72.5/5). It comes out to approximately 86.05 degrees.

What is the area of the quadrilateral ABCD in which AB is 4.3 mm BC is 3.4 mm CD is 3.8 mm angle ABC is 95 degrees and angle BCD is 115 degrees?

Using the cosine rule diagonal BD is 6.08 mm which splits angle 95 degrees into angles of 34.5 degrees and 60.5 degrees and so the area of the quadrilateral is:-

0.5*6.08*3.4*sin(34.5) plus 0.5*6.08*4.3*sin(60.5) = 17.232 square mm

Chapter circles from Ncert class 9?

Abcd is a cyclic quadrilateral whose diagonals intersect ata point E.If <dbc=70 and <bac=30. Find <bcd further ab=bc, find <ecd

What does the trigonometric table do?

trigonometric table gives the values of all the trigonometric functions for any angle.

i.e; it gives the numerical values of sine, cosine, tangent etc for any angle between 0 to 180 degrees the values for other angles can be calculated using these.

What is the value of sin 1?

-- The sin of 1 degree is 0.01745. (rounded)

-- The sin of 1 radian is 0.84147. (rounded)

-- The sin of 1 grad is 0.01571. (rounded)

How do you solve cos theta subtract cos squared theta divide 1 plus cos theta?

The question contains an expression but not an equation. An expression cannot be solved.

The angular velocity in revolutions per second of an 18 inch diameter tire on a vehicle that is traveling at 80 mph?

First, the circumference of an 18 inch wheel is 18 * pi = 56.549 inches.

80 miles per hour is 80 * 5280 * 12 = 5069000 inches per hour. This is 5069000 / 3600 = 1408.06 inches per second.

So, 1408.06/56.549 = 24.90 rev per second.

What were the contributions of Arab scholars?

The contributions of Arab scholars was trigonometry. They also contributed other thing such as their intelligence . :D :)

What is represented by small letters?

Anything you like as long as you specify what is being represented.