Showing posts with label mathematics. Show all posts
Showing posts with label mathematics. Show all posts

Wednesday, June 18, 2025

Writing math equation in web using mathjax and latex

Add the mathjax javascript library to the head or body of the html

<script async="" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-chtml.js" type="text/javascript">
</script>

To declare math equation use identifier 
\ (...\) for inline or 
\ [...\] for display

Note: no space between \ ( and \ [  

Example to write 1/2 

in latex: frac{1}{2}

in mathjax html (e.q. blogspot): \ ( \ frac{1}{2}\) 

Note: no space between characters above

result 

\(\frac{1}{2}\)

 

If you copy paste from word application with math equation support, the code may become messy, e.q word equation will result in many additional custom html tag. 

Wednesday, June 11, 2025

Trigonometric Identities

 

Trigonometric Identities

 Common degree

degree

Sin

Cos

Tg

0

0

1

0

30 or π/6

45 or π/4

1

60 or π/3

90 or π/2

1

0

infinite







 Reciprocal Trigonometric Identities

  ;    ; 

  ;   ;

 

 

Pythagorean Trigonometric Identities

 

Ratio Trigonometric Identities

 

Trigonometric Identities of Opposite Angles

 

Sin (-a) = – Sin a

Cos (-a) = Cos a

Tan (-a) = – Tan a

Cot (-a) = – Cot a

Sec (-a) = Sec a

Csc (-a) = -Csc a

 

Trigonometric Identities of Complementary Angles

 

Sin (90 – a) = Cos a

Cos (90 – a) = Sin a

Tan (90 – a) = Cot a

Cot ( 90 – a) = Tan a

Sec (90 – a) = Csc a

Csc (90 – a) = Sec a

 

Trigonometric Identities of Supplementary Angles

 

sin (180°- a) = sina

cos (180°- a) = -cos a

cosec (180°- a) = cosec a

sec (180°- a) = -sec a

tan (180°- a) = -tan a

cot (180°- a) = -cot a

 

Sum and Difference of Angles Trigonometric Identities

 

 

Double Angle Trigonometric Identities

 

 

Half Angle Identities

 

 

 

Product-Sum Trigonometric Identities

 

 

 

 

Trigonometric Identities of Products

 

 

 

byjus.com/maths/trigonometric-identities/