Trigonometric Ratios

Trigonometric Ratios

Home > Trigonometry Circles with Cnetre $(0,0)$ Consider a circle with centre $(0,0)$ and radius $r$ units. Suppose $(x,y)$ is any point on this circle. Using ths distance formula; \( \begin{align} \displaystyle \sqrt{(x-0)^2+(y-0)^2} &= r \\ \therefore x^2+y^2 &= r^2 \end{align} \) $x^2+y^2 = r^2$ is the equation of a circle with centre $(0,0)$ and [...]
Degree-Radian Conversions

Degree-Radian Conversions

Home > Trigonometry Degree Measurement of Angles One full revolution makes an angle of $360^{\circ}$, and the angle on a straight line is $180^{\circ}$. Therefore, one degree, $1^{\circ}$, can be defined as $\dfrac{1}{360}$ of one full revolution. For greater accuracy we define one minute, $1'$, as $\dfrac{1}{60}$ of one degree and one second, $1''$, as [...]
Integration using Trigonometric Properties

Integration using Trigonometric Properties

Share0 Share +10 Tweet0 Trigonometric properties such as the sum of squares of sine and cosine with the same angle is one, $$ \displaystyle \sin^2{\theta} + \cos^2{\theta} = 1 \\ \cos\Big(\frac{\pi}{2} – \theta \Big) = \sin{\theta} $$ can simplify harder integration. Worked Example of Integration using Trigonometric Properties (a)    Find \(a\) and \(b\) for \(\displaystyle […]