0
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 period of tangent function?
You find the smallest positive value y such that
tan(x + y) = tan(x) for all x.
What is sine cosine and tangent?
In a right triangle, the sine of one of the angles other than the right angle is the length of the side opposite the angle divided by the length of the hypotenuse (the side opposite the right angle), the cosine is the length of the side adjacent to the angle divided by the length of the hypotenuse, and the tangent is the length of the opposite side divided by the length of the adjacent side.
Why are there two sine cosine and tangent ratios?
There aren't. There are three: Sine, Cosine and Tangent, for any given right-angled triangle.
They are related of course: for any given angle A, sinA/cosA = tanA; sinA + cosA =1.
As you can prove for yourself, the first by a little algebraic manipulation of the basic ratios for a right-angled triangle, the second by looking up the values for any value such that 0 < A < 90.
And those three little division sums are the basis for a huge field of mathematics extending far beyond simple triangles into such fields as harmonic analysis, vectors, electricity & electronics, etc.
What is the logarithmic form of the equation e4x 2981?
Assuming your equation is: e^4x = 2981
Then taking the logs to base e (natural logs) of both sides gives:
ln(e^4x) = ln(2981)
→ 4x = ln(2981)
[Note: The 2981 looks like it has been rounded to a whole number from approx 2980.958 which means the value of x was a whole number (to which ln(2981) rounds).]
The cosine of 0.57 degrees is 0.999951. The cosine of 0.57 radians is 0.841901
What is cosine of 23 degree angle?
This can be done on a graphing calculator by making sure you have your calculator in degrees mode, and then tentering the cos(23). You get an answer of 0.9205048535.
It is 679 square metres.
Can you give examples of phenomena that take on a series of values over and over again?
The sea level as the tide goes in and out. An oscillating spring.
A vibrating string.
How does an increase in eccentricity affect the shape of a hyperbola?
Hyperbolae with different eccentricities have a different angle between their asymptotes.
How do you work out the remaining side of a right angled triangle using theta and one side?
Suppose triangle ABC is right angled at C. Suppose you are given that the angle at B is theta. Then
if you know the length of AB (the hypotenuse), then
BC = AB*cos(theta) and
AC = AB*sin(theta)
if you know the length of BC, then
AB = BC/cos(theta) and
AC = BC*tan(theta)
if you know the length of AC, then
AB= AC/sin(theta) and
BC = AC/tan(theta)
What is the standard position of 790?
The standard position of 790 degrees is 70 degrees anticlockwise from the positive x-axis.
How do I find Sin A .42 is A is an acute angle. And how do i enter that on a calculator?
If sin(A) = 0.42 then A = arcsin(0.42).
On calculators, the arcsin key is usually reached by using another key before the sin key, and is shown as "sin to the power -1".
Make sure that your calculator is set to degrees rather than radians (to check this, try sin(90). If the answer is 1 the calculator is in degree mode; if it is 0.8940 it is in radian mode.
Yes, because an isosceles triangle has two equal base angles and two equal sides.
a) sine
What is a vertices of the triangle?
The apex Points of a triangle are called as vertices or else the points where two line segments meet is called as Vertices.
What is sec theta if tan theta equals 2 with theta in quadrant 3?
If tan theta equals 2, then the sides of the triangle could be -2, -1, and square root of 5 (I used the Pythagorean Theorem to get this). From this, sec theta is negative square root of 5. It is negative because theta is in the third quadrant, where cosine, secant, sine, and cosecant are all negative.
What is the ratios function of sin?
The sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.
In terms of ratios, the sine of an angle is defined, in a right angled triangle, as the ratio of lengths of the opposite side to the hypotenuse.
Find the value of a if tan 3a is equal to sin cos 45 plus sin 30?
If tan 3a is equal to sin cos 45 plus sin 30, then the value of a = 0.4.
What is the cos of angle a 5 13 12?
It is: cos = adj/hyp and the acute angles for the given right angle triangle are 67.38 degrees and 22.62 degrees
