Trigonometry: Using Double and Half Angle Formulas
This is a free lesson from our course in Trigonometry
This lesson walks you through how to use double and half angle formulas. It has been explained by the instructor using video and with the help of some examples, practice questions with solution.
Double and Half-Angle formulas are very useful in trigonometric applications e.g. rational functions of sine and cosine will be very hard to integrate without these formulas. Similarly it would be useful to reduce the degree of difficulty, where functions involving powers of sine and cosine are hard to integrate. Also the Double-Angle formulas may be used to generate easily the Half-Angle formulas. (More text below video...)
<h2>Trigonometry - Using Double and Half Angle Formulas</h2> <p>double and Half Angle Formulas, solution, video, trigonometry applications, sine, cosine, sin, cos, formula, example, double angle formula, half angle formula, angle sum and difference formulas, practice questions, quizzes.</p> <p>how to find out the value of sin 2 theta and sin 2 theta, if the value of cos theta is known and similarly to find the value of sin x/2 and cos x/2, if the value of cos x is known. cos (A/2) = ħSqrt(1 + cosA)/2.</p>
Other useful lessons:
Sum and Difference Formulas
Using Sum and Difference Formulas
Double and Half Angle Formulas
(Continued from above)  You'll learn the steps now; how to find out the value of sin 2 and sin 2, if the value of cos  is known and similarly to find the value of sin /2 and cos /2, if the value of cos is known. For example, cos 15 can be evaluated using the formula
         cos (A/2) = (1 + cos A)/2.
         cos (30/2) = (1 + cos 30)/2,
Substituting cos 30 = 3/2, you'll get the answer {(2 + 3)}/2.
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