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
The equation cannot be proved because of the scattered parts.
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.
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.
Using the formula: tangent = opposite/adjacent whereas tangent angle = height/ground distance, will help to solve the problem
-- 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)
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.
What are the values of theta of which co secant theta is undefined?
Any value for which sin(theta) = 0, i.e. theta = N*180, N being an Integer.
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