All Trigonometric Formula List for your study

All Trigonometric Formula List- sin cos tan cosec cot sec

sin0° =0
sin30° = 1/2
sin45° = 1/√2
sin60° = √3/2
sin90° = 1
cos is opposite of sin
tan0° = 0
tan30° = 1/√3
tan45° = 1
tan60° = √3
tan90° = ∞

COT is opposite of TAN

sec0° = 1
sec30° = 2/√3
sec45° = √2
sec60° = 2
sec90° = ∞
cosec is opposite of sec
2sinacosb=sin(a+b)+sin(a-b)
2cosasinb=sin(a+b)-sin(a-b)
2cosacosb=cos(a+b)+cos(a-b)
2sinasinb=cos(a-b)-cos(a+b)
sin(a+b)=sina cosb+ cosa sinb.
» cos(A+B)=cosAcosB – sinAsinB.
» sin(a-b)=sinacosb-cosasinb.
» cos(a-b)=cosacosb+sinasinb.
» tan(a+b)= (tana + tanb)/ (1−tanatanb)
» tan(a−b)= (tana − tanb) / (1+ tanatanb)
» cot(a+b)= (cotacotb −1) / (cota + cotb)
» cot(a−b)= (cotacotb + 1) / (cotb− cota)
» sin(a+b)=sina cosb+ cosa sinb.
» cos(a+b)=cosa cosb +sina sinb.
» sin(a-b)=sinacosb-cosasinb.
» cos(a-b)=cosacosb+sinasinb.
» tan(a+b)= (tana + tanb)/ (1−tanatanb)
» tan(a−b)= (tana − tanb) / (1+ tanatanb)
» cot(a+b)= (cotacotb −1) / (cota + cotb)
» cot(a−b)= (cotacotb + 1) / (cotb− cota)
a/sina = b/sinb = c/sinc = 2r
» a = b cosc + c cosb
» b = a cosc + c cosa
» c = a cosb + b cosa
» cosa = (b² + c²− a²) / 2bc
» cosb = (c² + a²− b²) / 2ca
» cosc = (a² + b²− c²) / 2ca
» sinθ = 0 tнen,θ = nΠ
» sinθ = 1 tнen,θ = (4n + 1)Π/2
» sinθ =−1 tнen,θ = (4n− 1)Π/2
» sinθ = sina tнen,θ = nΠ (−1)^na

1. sin2a = 2sinacosa
2. cos2a = cos²a − sin²a
3. cos2a = 2cos²a − 1
4. cos2a = 1 − sin²a
5. 2sin²a = 1 − cos2a
6. 1 + sin2a = (sina + cosa)²
7. 1 − sin2a = (sina − cosa)²
8. tan2a = 2tana / (1 − tan²a)
9. sin2a = 2tana / (1 + tan²a)
10. cos2a = (1 − tan²a) / (1 + tan²a)
11. 4sin³a = 3sina − sin3a
12. 4cos³a = 3cosa + cos3a
» sin²θ+cos²θ=1
» sec²θ-tan²θ=1
» cosec²θ-cot²θ=1
» sinθ=1/cosecθ
» cosecθ=1/sinθ
» cosθ=1/secθ
» secθ=1/cosθ
» tanθ=1/cotθ
» cotθ=1/tanθ
» tanθ=sinθ/cosθ

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