Trigonometry is an important branch of Mathematics that deals with the study of triangles and its measurements. In this article, we will explore topics such as trigonometric ratios, graphs of trigonometric functions, identities, maximum and minimum values, main formulas and much more.

Trigonometric Ratios

(\begin{array}{l}\frac{opp}{hyp} = \sin \theta = \frac{AB}{AC}\end{array} )

(\begin{array}{l}\frac{BC}{AC}=\cos \theta =\frac{adj}{hyp}\end{array} )

(\tan\ \theta = \frac{opp}{adj} = \frac{AB}{BC})

\(\cot\theta = \frac{BC}{AB}\)

(\sec\theta = \frac{BC}{AC})

(\begin{array}{l} \cos \theta = \frac{AC}{AB} \end{array})

Trigonometric Circular Functions

Trigonometric Circular Functions

(\begin{array}{l}AOP = \frac{arcAP}{r} = \frac{l}{r}\end{array})

cos θ = x

sin θ = y

(\tan\theta=\frac{x}{y})

Graphs of T Ratios

Sine

y = sin(x)

Domain R

Range (-1, 1)

Cosine

y = \cos{x}

Tangent

y = \tan{x}

Co-Tangent

y = cot(x)

Secant

$$y = \sec x$$

(\begin{array}{l}Domain:,,,,,R-\left{ x,\in,R,\mid,(2x+1),\frac{\pi }{2} \right}\end{array} )