ত্রিকোনোমিতির সুত্র গুলো কি কি?

এখানে ৪০টি ত্রিকোণমিতির সূত্র দেওয়া হল। আপনি এখান থেকে উপকার পেতে পারেন। 

(1) sinA = লম্ব/অতিভুজ = sin(A+2π) = sin(A+360°) = cos{(π/2)-A} = cos(90°-A)

(2) cosA = ভূমি/অতিভুজ = cos(-A) = cos(A+2π) = cos(A+360°) = sin{(π/2)-A} = sin(90°-A)

(3) tanA = লম্ব/ভুমি = tan(A+π) = tan(A+180°) = cot{(π/2)-A} = cot(90°-A)

(4) cosecA = 1/sinA

(5) secA = 1/cosA = sec(-A)

(6) cotA = 1/tanA = cot(A+π) = cot(A+180°) = tan{(π/2)-A} = tan(90°-A)

(7) sinA.cosecA = 1

(8) cosA.secA = 1

(9) tanA.cotA = 1

(10) tanA = sinA/cosA = secA/cosecA

(11) cotA = cosA/sinA = cosecA/secA

(12) sin²A+cos²A =1

(13) sec²A-tan²A =1

(14) cosec²A-cot²A=1

(15) tanA+cotA = secA.cosecA

(16) sec²A+cosec²A = sec²A.cosec²A

(17) sin(-A) = -sinA

(18) cos(-A) = cosA

(19) tan(-A) = -tanA

(20) cosec(-A) = -cosecA

(21) sec(-A) = secA

(22) cot(-A) = -cotA

(23) sin(A+B) = sinA.cosB+cosA.sinB

(24) sin(A-B) = sinA.cosB-cosA.sinB

(25) cos(A+B) = cosA.cosB-sinA.sinB

(26) cos(A-B) = cosA.cosB+sinA.sinB

(27) tan(A+B) = (tanA+tanB)/(1-tanA.tanB)

(28) tan(A-B) = (tanA-tanB)/(1+tanA.tanB)

(29) sin(2A) = 2sinAcosA

(30) cos(2A) = cos²A-sin²A = 2cos²A-1 = 1-2sin²A

(31) tan(2A) = 2tanA/(1-tan²A)

(32) sin(A/2) = ±√{(1-cosA)/2}

(33) cos(A/2) = ±√{(1+cosA)/2} = ±√{(1-cosA)/(1+cosA)}

(34) sinA.cosB = {sin(A+B)+sin(A-B)}/2

(35) sinA.cosB = {cos(A+B)+cos(A-B)}/2

(36) sinA.sinB = {cos(A+B)-cos(A-B)}/2

(37) sinA+sinB = 2sin{(A+B)/2}cos{(A-B)/2}

(38) sinA-sinB = 2cos{(A+B)/2}sin{(A-B)/2}

(39) cosA+cosB = 2cos{(A+B)/2}cos{(A-B)/2}

(40) cosA-cosB = 2sin{(A+B)/2}sin{(A-B)/2}