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Trigonometric Ratios of Multiples of an Angle

What is trigo...

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What is trigonometry function?

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Solution

Following are six trigonometric functions
$\begin{matrix} F u n c t i o n & A b b r e v i a t i o n & D e s c r i p t i o n & I d e n t i t i e s (u s i n g r a d i a n s) s i n e & s i n & o p p o s i t e / h y p o t e n u s e & s i n θ = c o s (\frac{π}{2} - θ) = \frac{1}{c s c θ} c o s i n e & c o s & a d j a c e n t / h y p o t e n u s e & c o s θ = s i n (\frac{π}{2} - θ) = \frac{1}{s e c θ} t a n g e n t & t a n (o r t g) & o p p o s i t e / a d j a c e n t & t a n θ = \frac{s i n θ}{c o s θ} = c o t (\frac{π}{2} - θ) = \frac{1}{c o t θ} c o t a n g e n t & c o t (o r c o t a n o r c o t g o r c t g o r c t n) & a d j a c e n t / o p p o s i t e & c o t θ = \frac{c o s θ}{s i n θ} = t a n (\frac{π}{2} - θ) = \frac{1}{t a n θ} s e c a n t & s e c & h y p o t e n u s e / a d j a c e n t & s e c θ = c s c (\frac{π}{2} - θ) = \frac{1}{c o s θ} c o s e c a n t & c s c (o r c o s e c) & h y p o t e n u s e / o p p o s i t e & c s c θ = s e c (\frac{π}{2} - θ) = \frac{1}{s i n θ} \end{matrix}$

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