i want all the trigonometric formulas and ratios
Answers
Answer:
Step-by-step explanation:
sin∅=perpendicular/hypotenuse
cos∅=base/hypotenuse
tan∅=perpendicular/base
cosecant∅=hypotenuse/perpendicular
secant∅=hypotenuse/base
cotangent∅=base/perpendicular
sin²∅+cos²∅=1
1+tan²∅=sec²∅
1+cot²∅=cosec²∅
sin∅=cos(90-∅)
cos∅=sin(90-∅)
tan∅=cot(90-∅)
cot∅=tan(90-∅)
sec∅=cosec(90-∅)
cosec∅=(90-∅)
Step-by-step explanation:
Sin²x+cos²x=1
Sin²x+cos²x=11+tan²x=sec²x
Sin²x+cos²x=11+tan²x=sec²x1+tan²x=cosec²x
sin2x=2sinx.cosx
sin2x=2sinx.cosxcos2x=cos²x-sin²x
sin2x=2sinx.cosxcos2x=cos²x-sin²xtan2x=2tanx/1-tan²x
sin2x=2sinx.cosxcos2x=cos²x-sin²xtan2x=2tanx/1-tan²xsin3x=3sinx-4sin³x
sin2x=2sinx.cosxcos2x=cos²x-sin²xtan2x=2tanx/1-tan²xsin3x=3sinx-4sin³xcos3x=4Cos³x-3cosx
sin2x=2sinx.cosxcos2x=cos²x-sin²xtan2x=2tanx/1-tan²xsin3x=3sinx-4sin³xcos3x=4Cos³x-3cosxtan3x=3tanx-tan³x/1-3tan²x