Trigonometry

Ok, im not positive about this but here is what i got. (ca=cos(a),sa=sin(a),cb=cos(b)ect)

ca=1/3 | ca^2=1/9 | sa^2=1-ca^2 | sa^2=8/9 | sa=.943

Sin(a)=.943 Cos(a)=.333 Tan(a)=2.832

sb=-1/2 | sb^2=1/4 | cb^2=1-.25 | cb^2=3/4 | cb=-.866

Sin(b)=-.5 Cos(b)=-.866 Tan(b)=.577

Tan(a+b)=(Tan(a)+Tan(b))/(1-2.832*.577)

Tan(a+b)=3.41/-.634

Tan(a+b)=-5.376

So that's what i got. If you have any questions or if you got a different answer you should email me. actually email me regardless, i want to see if i got it right. allonbacuth@gmail.com

The ladder forms the hypotenuse (r) and the wall forms the vertical (y) of a right triangle. sin theta = y / r the angle at the bottom is (90 - 32) = 58

sin 58 = 20 / r

r = 20 / sin 58 = 23.583568067241928552025478405751 feet

ladder must be about (rounding) 23.6 feet long.

2sin2(6x) + 3sin(6x) + 1 = 0

Solving the quadratic,

sin(6x) = -1 or sin (6x) = -0.5

sin(6x) = -1 => 6x = 45+60n degrees for integer n

sin(6x) = -0.5 => 6x = 35+60n or 55+60n degrees for integer n.

2sin(x), or 5.4cos(y), tan(z)

Negative cosine

f(x) = sin(x)

f'(x) = -cos(x)

If they put their mind to it, it is not difficult.

It is the hypotenuse

yes

If it's a right triangle, use pythagorean's theorem (a2+b2=c2) to solve it. =

If it's an oblique triangle, use the law of sines or cosines (see related link)

A relation is a mapping between two sets, a domain and a range. A function is a relationship which allocates, to each element of the domain, exactly one element of the range although several elements of the domain may be mapped to the same element in the range.

Angular displacements measured in radians or stradians, lengths of lines measured in units of length.

Using trigonometry its smallest angle is 43.84 degrees and its area is 18.2 square cm

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Using the cosine rule to find the angle:

a² = b² + c² - 2bc cos A
→ cos A = (b² + c² - a²)/(2bc)
→ A = arccos ((6.4² + 8.2² - 5.7²)/(2 × 6.4 × 5.7)) ≈ 43.8°

Area = ½ × b × c × sin A ≈ ½ × 6.4 cm × 8.2 cm × sin 43.8° ≈ 18.2 cm²

The tangent and cotangent functions.

Volume in cubic units = 4/3*pi*153

Once you REALLY understand the basic definitions and relationships in Trig (Trigonometry) it is not hard. BUT, the most critical time when taking Trig, in my opinion, is right at the beginning, when the teacher is setting up the "ground rules" for the way things are hung together. If you really dig in at the beginning, you can beat it.

Some students initially have problems trying to visualize the problems, but when you learn to break things down in smaller, simpler chunks you've got it beat.

Good Luck & Pay Attention & ASK QUESTIONS!

3.141593 is best I can remember.

3.14159265 is a little better. (Chuck Baggett)

The answer is cos A .

cos A = 1/ (sec A)

Clones are the best way to get real quality in a product at a fraction of the cost. They're also known as replicas or counterfeit products, but their legality is often misunderstood, and it's not always black and white. For example, when you see "clones for sales" on Amazon, you might think that the products are fake or illegal because they seem to be the same as name brand items, but in reality, many of them are not actually illegal because they may be made by different companies that hold exclusive rights over certain brands. More Info:

Oh honey, just use a calculator. Trigonometric tables are so last century. Type in your decimal value of theta, hit the sin, cos, or tan button, and voila! Math magic at your fingertips. No need to flip through dusty old tables like a math detective.

The sine rule(also known as the "law of sines") is:

a/sin A = b/sin B = c/sin C

where the uppercase letters represent angles of a triangle and the lowercase letters represent the sides opposite the angles (side "a" is opposite angle "A", and so on.)

Sine Ratio(for angles of right triangles):

Sine of an angle = side opposite the angle/hypotenuse

written as

sin=opp/hyp.

To draw a perfect circle you will need a drawing compass. To draw a circle you will need a pencil and paper. Starting at the top centre of the paper, place the point of the pencil. Curving around to either the right or the left which ever preferred Guide the pencil all the way around to the starting position making sure that it is symmetrical all the way round. There you have your circle. You may want to use a drawing compass to assist you in drawing a perfect circle. If you do not have a drawing compass you can improvise with a thumb tack and some string. Tie one end of the string to the tack and pin it where you want the centre of your circle to be. Tie the other end to your pencil. Keep the string stretched and move the pencil around the pin to draw a circle. You can change the size of the circle by changing the length of the string.

It is called a decagon.

base*height*length*.5