This is a free lesson from our course in Trigonometry
In this lesson you'll learn more details of how to find the values of the sine and the cosine functions using the sum and difference formulas.
It is explained by instructor with the help of a video having some examples and
practice questions with solution. It is used in trigonometric applications to find the values of sine and
cosine functions for which the angle measures are given in degree or in radians and also to evaluate expressions for which the
angle measures of A and B are
unknown.
(More text below video...)
(Continued from above)
For example: Let us find value of sin (A + B);
where sin A = 3/5, cos B = 9/41 and 0 < A,
B<
/2.
You can use Pythagorean Theoremx2 + y2
= r2 and sin A = 3/5 i.e. y/r,
to get cos A = 4/5.
Similarly, using the Pythagorean Theorem and cos B = 9/41 i.e. x/r,
you'll get sin B = 40/41. Now substitute these values in sin (A
+ B) = sin A cos B + cos A sin B.
You will get the answer 187/205.
Winpossible's online math courses and tutorials have gained rapidly popularity since
their launch in 2008. Over 100,000 students have benefited from Winpossible's courses...
these courses in conjunction with free unlimited homework help serve as a very effective
math-tutor for our students.
-
All of the Winpossible math tutorials have been designed by top-notch instructors
and offer a comprehensive and rigorous math review of that topic.
-
We guarantee that any student who studies with Winpossible, will get a firm grasp
of the associated problem-solving techniques. Each course has our instructors providing
step-by-step solutions to a wide variety of problems, completely demystifying the
problem-solving process!
-
Winpossible courses have been used by students for help with homework and by homeschoolers.
-
Several teachers use Winpossible courses at schools as a supplement for in-class
instruction. They also use our course structure to develop course worksheets.
/2.
