Pythagoras identities are use to convert trigonometric ratio from one form to another. Also we use right angle triangle for conversion. Conversion of trigonometric ratio
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Interpretation of trigonometric graph
Sound waves travel in a repeating wave pattern. This represent graphically by sine and cosine functions. As trigonometric function is periodic therefore it use for sound wave. Similarly we use in wheel also for model function, because of rotation of wheel. Also use of periodic conditions. trigonometric function
Power series with Complex Coefficient
Power series with Complex Coefficient. n represents the coefficient of the nth term and c is a constant. An is independent of x and may be expressed as a function of n . The set of all formal power series in X with coefficients in a commutative ring R form another ring that is written R [[ X ]] Also expressions for Coefficients of a Power Series. As […]
Power series with Real Coefficient
Power series with Real Coefficients. The exponential function (in blue), and the sum of the first n + 1 terms… Radius of convergence. A power series will converge for some values of the variable x… Operations on power series. Power Series