The primary use of trigonometric functions is in the measurement of angles. The trigonometric functions can be easily understood as follows. See the figure below.
Now, we can write Sin (Φ) = y/r and its ...
Solution Summary
An easy method to recall trigonometric identities is described with some interesting explanations. View the MS word attachment for clear text.
What is the difference between a trigonometric equation that is an identity and a trigonometric equation that is not an identity? Provide an example to clarify.
1) Verify the following identities :
a) sin(x+y)cos(x-y) + cos(x+y)sin ( x-y) = sin 2x
b) cos2x = [cot^2 (x-1 )] / [ cot^2 (x+1) ]
2) Derive the identity for sin 3x in terms of sin x
3) Using the double-angle formula, find sin 120° .
4)Simplify the following expressions so that they involve a function of only on
A recent land survey was conducted on a vacant lot where a commercial building is to be erected . The plans for the future building construction call for a building having a roof supported by two sets of beams. The beams in the front are 8 feet high and the back beams
Please help with the following problem. Provide at least 200 words.
Trigonometry has many applications in the real world. One particular area in which it can be used is in architecture. If you were an architect, describe a specific situation in which you could use right triangle trigonometry to help you design a new hospital
A) Verify the following Identities :
i) [(Sin 2theta)/ (sin theta )- ( cos 2theta/ cos theta )] = sec theta
ii) cos2x = (cot^2 x-1 )/ (cot^2 x-1 )
And,
ììì) Use logarithms and the law of tangents to solve the triangle
ABC, given that a= 21.46 ft, b= 46.28 ft, and C = 32° 28' 30
Suppose at kickoff of a football game, the receiver catches the football at the left side of the goal line and runs for a touchdown diagonally across the field. How many yards would he run? (A football field is 100 yards long and 160 feet wide).
For a rectangular sperical triangle, where C = 90 degrees, show that:
tan a = sin b tan A
and,
tan b = sin a tan B
This is how far I have a gotten:
sin C = 1
cos C = 0
I am also aware that I should be using both the Law of Cosines and the Law of Sines. Using these, I was able to prove several other identities. I am co
