Trigonometry

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

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)

Graph of sine function

Domain R

Range (-1, 1)

Cosine

y = \cos{x}

Graph of cosine function

Tangent

y = \tan{x}

Graph of tangent function

Co-Tangent

y = cot(x)

Graph of Co-Tangent Function

Secant

$$y = \sec x$$

Graph of secant function

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

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