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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

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.

Why is degrees not taken as the angle of reference in trignometry?

They often are. Sometimes, however, radians are used for the measures of angles and for labeling graphs. This is because later aspects of trigonometry, like polar coordinates, arc lengths, and wave graphs, are more easily explored with radians. Pi commonly appears and is more easily understood as π than as 3.14159.... Circles, with areas of πr^2, are frequent and periods of wave function are almost always expressed in radians. Radians become as useful and widespread as degrees.

How do you remember sin and cos values?

Mnemonics

A common use of mnemonics is to remember facts and relationships in trigonometry. For example, the sine, cosine, and tangent ratios in a right triangle can be remembered by representing them as strings of letters. For instance, a mnemonic for English speakers is SOH-CAH-TOA:Sine = Opposite ÷ HypotenuseCosine = Adjacent ÷ HypotenuseTangent = Opposite ÷ Adjacent

One way to remember the letters is to sound them out phonetically (i.e. "SOH-CAH-TOA", which is pronounced 'so-kə-tow'-uh').Another method is to expand the letters into a sentence, such as "Some Old Hippy Caught Another Hippy Trippin' On Acid". or "Some Old Houses, Can't Always Hide, Their Old Age"

What are the angles of a rhombus with an area of 40 square centimeters and sides of 15 centimeters?

Suppose the rhombus is ABCD.

Consider the triangle ABC, whose area will be 40/2 = 20 sq cm.That is, 0.5*AB*BC*sin(B) = 20

sin(B) = 40/225 = 0.1777... recurring.

Therefore B = arcsin(1.777...) = 0.1787 or 2.9629 radians or equivalently, 10.24 or 169.76 degrees.

What is a polar triangle in spherical trigonometry?

for any spherical triangle on any sphere there associated another triangle called the polar triangle associated with this spherical triangle with the property that the sum of any angle (or side) of one of these two triangles and the length of the side (and the angle)of the other triangle is alway equil to 180 degrees

How do you recalibrate your compass on your 2000 sebring. I did what the manual said to do but it did not work .The cal light is still on and the compass is incorrect Is there another way to reset?

Compass Calibration

The Automatic Compass Calibration feature eliminates

the need for the operator intervention under normal

conditions. If the CAL indicator is lit, the compass needs

to be calibrated. A good calibration requires a level

surface and an environment free of large metal objects

such as large buildings, bridges, underground cables,

railroad tracks, etc.

Manual Compass Calibration

Compass calibration can also be requested. To manually

calibrate the compass, use the STEP button to step to the

compass/ temperature display and then hold down both

the STEP and US/M buttons simultaneously until the

CAL symbol is displayed. Release the buttons once the

CAL symbol appears. Manual compass calibration has

been initiated at this point. Drive the vehicle in circles in

an area free from large metal objects until the CAL

symbol is extinguished.

When the CAL indicator goes off, the compass is calibrated

and should display correct headings. Verify

proper calibration by checking North (N), South (S), East

(E), and West (W). If the compass does not appear

accurate, repeat the calibration procedure in another area.

Compass Variance

Variance is the difference between magnetic North and

geographic North. For proper compass function, the

correct variance zone must be set.

Setting the Compass Variance

Refer to the variance map for the correct compass variance

zone. To check the variance zone, the ignition must

be on and the compass / temperature displayed. Hold

down both the US / M and STEP buttons simultaneously

until the VAR symbol is lit and then immediately release

both buttons. The current variance zone will now be

displayed. To change the zone, press the STEP button

until the correct zone is displayed. Wait for about 5

seconds. The trip computer will store this variance in

memory and the compass will resume normal operation.