All essential mathematical formula

Hey guys, how are you? I am back after a month. As you follow my previous posts, then you should see 28 formula about trigonometry. Today you will find huge formula in one post. I have uploaded this formula in image. Ok, now see the image for all formula.

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All necessary trigonometry laws [part-3]

Hey guys, how are you? Fine? Then I can start my 3^rd part. This is the third part of "All necessary trigonometry laws". In first part, I write 10 laws. Second part I have added 8 laws. If you missed or forget them you can view it again here.

All necessary trigonometry laws (part-1).

All necessary trigonometry laws (part-2).

In this part we will see important twelve laws. If you know this laws, then you will able to solve any hard trigonometry math. Okey let's go and see today's 12 laws.

1. sin2A = 2sinA.cosA
2. cos2A = cos²A - sin²A = 1 - 2sin²A = 2cos²A - 1
   
3. 1 - cos2A = 2cos²A
4. 1 + cos2A = 2sin²A
5. sin2A = ^2sinA_{1 + tan²A}
6. cos2A = ^{1 - tan2A}_{1 + tan²A}
7. tan2A = ^2sinA_{1 - tan²A}
8. sin3A = 3sinA - 4sin³A
9. cos3A = 4cos³A - 3cosA
10. tan3A = ^{3tanA - tan3A}_{1 - 3tan²A}
11. 4sin³A = 3sinA - sin3A
12. 4cos³A = 3cosA + cos3A

View this laws carefully and practice it yourself and wait for last part. I will come back with last part as soon as possible. Now I say Good bye.

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All necessary trigonometry laws [part-2]

Hey guys, how are you? Fine? Then I can start my 2^nd part. This is the second part of "All necessary trigonometry laws". In first part, I write 10 laws. If you missed or forget them you can view it again here.

All necessary trigonometry laws (part-1).

In this part we will see important eight laws. If you know this laws, then you will able to solve any hard trigonometry math. Okey let's go and see today's 8 laws.

1. 2sinA.cosB = sin(A + B) + sin(A - B)



2. 2cosA.sinB = sin(A + B) - sin(A - B)



3. 2cosA.cosB = cos(A + B) + cos(A - B)



4. 2sinA.sinB = cos(A - B) - cos(A + B)



5. sinC + sinD = 2sin^{C + D}₂.cos^{C - D}₂



6. sinC - sinD = 2cos^{C + D}₂.sin^{C - D}₂



7. cosC + cosD = 2cos^{C + D}₂.cos^{C - D}₂



8. cosC - cosD = 2sin^{C + D}₂.sin^{D - C}₂

View this laws carefully and practice it yourself and wait for third part. I will come back with third part as soon as possible. Now I say Good bye.

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All necessary trigonometry laws [part-1]

Here I will Post 4 part of this laws and total laws will 40. In first part, I am going to share 10 laws. In second part, I will share 8 laws. In third part, I will share 12 laws and the last part will contain 10 laws.
However, I am sharing today's 10 laws.

1. sin(A + B) = sinA.cosB + cosA.sinB
2. sin(A - B) = sinA.cosB - cosA.sinB
3. cos(A + B) = cosA.cosB - sinA.sinB
4. cos(A - B) = cosA.cosB + sinA.sinB
5. tan(A + B) = ^{tanA + tanB}_{1 - tanA.tanB}
6. tan(A - B) = ^{tanA - tanB}_{1 + tanA.tanB}
7. cot(A + B) = ^{cotA.cotB - 1}_{cotA + cotB}
8. cot(A - B) = ^{cotA.cotB + 1}_{cotB - cotA}
9. sin(A + B).sin(A - B) = sin²A - sin²B = cos²B - cos²A
10. cos(A + B).cos(A - B) = cos²A - sin²B = cos²B - sin²A

Okey, I will try to come back as soon as possible to share my sencond part.

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