Question

explain full concept of trigonometric identities
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Answer 1

Step-by-step explanation:

hi

In mathematics, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables where both sides of the equality are defined. Geometrically, these are identities involving certain functions of one or more angles.

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Answer 2

Step-by-step explanation:

In mathematics, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables where both sides of the equality are defined. Geometrically, these are identities involving certain functions of one or more anWe are soon going to be playing with all sorts of functions, but remember it all comes back to that simple triangle with:

Angle θ

Hypotenuse

Adjacent

Opposite

Sine, Cosine and Tangent

The three main functions in trigonometry are Sine, Cosine and Tangent.

They are just the length of one side divided by another

For a right triangle with an angle θ :

sin=opposite/hypotenuse cos=adjacent/hypotenuse tan=opposite/adjacent

Sine Function:

sin(θ) = Opposite / Hypotenuse

Cosine Function:

cos(θ) = Adjacent / Hypotenuse

Tangent Function:

tan(θ) = Opposite / Adjacent

For a given angle θ each ratio stays the same

no matter how big or small the triangle is

When we divide Sine by Cosine we get:

sin(θ)cos(θ) = Opposite/HypotenuseAdjacent/Hypotenuse = OppositeAdjacent = tan(θ)

So we can say:

tan(θ) = sin(θ)cos(θ)

That is our first Trigonometric Identity.

Cosecant, Secant and Cotangentgles