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GYAN MINDS CLASSES
FOR CLASS- X ,XI ,XII,JEE(MAINS) AND STATE COMPETETIVE EXAM.

MATHEMATICS FORMULA
TRIGONOMETRY
Sinx = p/h Cosx =b/ h tanx = p/b
Secx = h/b cosecx = h/p cotx = b/p
Angle(x) 0 π/6 π/4 π/3 π/2
sinx 0 1/2 1/√2 √3/2 1
cosx 1 √3/2 1/√2 1/2 0
tanx 0 1/√3 1 √3 Not define

Quadrant I II III IV
Trigo Function All are +ve SIN is +ve Tan is +ve Cos is +ve

Sinx = 1/cosecx , cosx = 1/secx , tanx= 1/cotx ,
tanx = sinx/cosx , cotx = cosx/sinx
Sin(90-x) = cosx sec(90-x) = cosecx tan(90-x)= cotx cos(90-x) = sinx cosec(90-x)= secx cot(90-x)= tanx
Sin(A+B) =sinA cosB + cosA sinB sin(A-B) = sinA cosB – cosA sinB
Cos(A+B) = cosA cosB – sinA sinB cos(A-B) = cosA cosB + sinA sinB
Tan(A+B) = tanA + tanB/(1- tanA tanB) tan(A-B) = tanA – tanB/ (1-tanA tanB)
Cot(A+B) = (cotA cotB- 1)/cota +cotB cot(A-B) = (cotA cotB + 1)/cotA – cotB
Sin2x = 2 sinx cosx cos2x = cos2x – sin2x tan2x = 2tanx/(1- tan2x)
Sinx= 2sin(x/2) cos(x/2) 1- cosx = 2sin2(x/2) 1+cosx = 2 cos2(x/2)
Sin3x = 3sinx – 4sin3x cos3x = 4cos3x- 3cosx tan3x= 3tanx –tan3x/(1=3tan2x)

May Allah give you all the prosperity and success. May Allah bless you with wealth and happiness and give you a healthy life. Eid Mubarak.

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