Can anyoe give me a formula of trigonometry?

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In a right-angled triangle, the Pythagoras theorem states
(perpendicular )2 + ( base )2 = ( hypotenuse )2
There are some properties pertaining to the right-angled triangle. It is to be noted that in the following formulas, P stands for perpendicular, B stands for base and H stands for the hypotenuse.

SinA = P / H

CosA = B / H

TanA = P / B

CotA = B / P

CosecA = H / P

SecA = H/B

Sin2A + Cos2A = 1

Tan2A + 1 = Sec2A

Cot2A + 1 = Cosec2A
In order to find a relationship between various trigonometric identities, there are some important formulas:
1. TanA = SinA / CosA
2. CotA = CosA / SinA
3. CosecA = 1 / SinA
4. SecA = 1 / CosA
There are some formulas that are very crucial to solving higher level sums.

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

Sin ( A + B) . Sin (A – B) = Sin2A – Sin2B = Cos2B – Cos2A

Cos (A + B) . Cos (A – B) = Cos2A – Sin2B = Cos2B – Sin2A

Sin2A = 2 . SinA . CosA = 2 . TanA / (1 + Tan2A)

Cos2A = Cos2A – Sin2A = 1 – 2Sin2A = 2Cos2A – 1 = (1 – Tan2A) / (1 + Tan2A)

Tan2A = 2TanA / (1 – Tan2A)

Sin3A = 3 . SinA – 4 . Sin3A

Cos3A = 4 . Cos3A – 3 . CosA

Tan3A = (3TanA – Tan3A) / (1 – 3Tan2A)

SinA + SinB = 2 Sin (A + B)/2 Cos (A – B)/2

SinA – SinB = 2 Sin (A – B)/2 Cos (A + B)/2

CosA + CosB = 2 Cos(A – B)/2 Cos (A + B)/2

CosA – CosB = 2 Sin(B – A)/2 Sin (A + B)/2

TanA + TanB = Sin (A + B) / CosA . CosB

SinA CosB = Sin (A + B) + Sin (A – B)

CosA SinB = Sin (A + B) – Sin (A – B)

CosA CosB = Cos (A + B) + Cos (A – B)

SinA SinB = Cos (A – B) – Cos (A + B)

i hope it's helpful for us ....

Answer

Trigonometry Formula:
Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. One of the fundamental formulas in trigonometry is the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Sine Formula:
- The sine of an angle in a right triangle is equal to the length of the side opposite the angle divided by the length of the hypotenuse.
- Mathematically, sin(A) = opposite/hypotenuse.

Cosine Formula:
- The cosine of an angle in a right triangle is equal to the length of the side adjacent to the angle divided by the length of the hypotenuse.
- Mathematically, cos(A) = adjacent/hypotenuse.

Tangent Formula:
- The tangent of an angle in a right triangle is equal to the length of the side opposite the angle divided by the length of the side adjacent to the angle.
- Mathematically, tan(A) = opposite/adjacent.

Pythagorean Identity:
- In trigonometry, the Pythagorean identity states that sin^2(A) + cos^2(A) = 1.
- This identity is derived from the Pythagorean theorem and is a fundamental relationship in trigonometry.
By understanding and applying these trigonometry formulas, you can solve various problems involving angles and sides of triangles. Practice using these formulas in different scenarios to enhance your understanding of trigonometry concepts.

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