Question

write formulae of all Trigonomets
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Answer 1

Answer:

The most important formulas for trigonometry are those for a right triangle. If θ is one of the acute angles in a triangle, then the sine of theta is the ratio of the opposite side to the hypotenuse, the cosine is the ratio of the adjacent side to the hypotenuse, and the tangent is the ratio of the opposite side to the adjacent side

Trigonometric Formulas Pythagoras Theorem

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, (P)2 + (B)2 = (H)2

Applying Pythagoras theorem for the given right-angled theorem, we have:

(Perpendicular)2 + (Base)2 = (Hypotenuse)2

⇒ (P)2 + (B)2 = (H)2

The trigonometric properties are given below

Relationship Between Trigonometric Identities

Magical Hexagon for Trigonometry Identities

Magical Hexagon Trigonometry Formulas

Magical Hexagon for Trig Identities

Clock Wise:

Magical Hexagon Clock wise Trigonometry Formulas

tan(x) = sin(x) / cos(x)

sin(x) = cos(x) / cot(x)

cos(x) = cot(x) / csc(x)

cot(x) = csc(x) / sec(x)

csc(x) = sec(x) / tan(x)

sec(x) = tan(x) / sin(x)

Counterclock Wise:

Magical Hexagon Anti Clock Wise Trigonometry Formulas

cos(x) = sin(x) / tan(x)

sin(x) = tan(x) / sec(x)

tan(x) = sec(x) / csc(x)

sec(x) = csc(x) / cot(x)

csc(x) = cot(x) / cos(x)

cot(x) = cos(x) / sin(x)

Reciprocal Relations

Reciprocal Identitities Trig Formulas

Trigonometric Formulas Reciprocal Relations

Trigonometric Formulas PDF

Square Law Formulas

Square Law Formulas

Trigonometric Formulas Square Law

Step-by-step explanation:

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