trigonometry

During a half-moon phase, the Earth-Moon-Sun form a right triangle. If the Moon-Earth-Sun angle at this half-moon phase is measured to be 89.85°, the ratio of the Earth-Sun and...

The Fourier cosine series of a function is given by: $f(x) = \sum_{n=0}^{\infty} f_n \cos nx$ For $f(x) = \cos^4 x$, the numerical value of $(f_4 + f_5)$ is __________. (round off...

On a horizontal ground, the base of a straight ladder is 6 m away from the base of a vertical pole. The ladder makes an angle of 45° to the horizontal. If the ladder is resting at...

Laplace transform of $$f\left( t \right) = \cos \left( {pt + q} \right)$$ is

The Taylor series expansion of sin $$x$$ about $$x = {\pi \over 6}$$ is given by