Question

Write trigonometrical ratios used in trigonometry.
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Answer 1

Answer:

There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant and cotangent. These six trigonometric ratios are abbreviated as sin, cos, tan, csc, sec, cot. These are referred to as ratios since they can be expressed in terms of the sides of a right-angled triangle for a specific angle θ.

Answer 2

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will start with cot∅ ;-)

→ cot∅ = 1/tan∅

Coming onto sin∅ and cos∅,

→ tan∅ = sin∅/cos∅

→ tan∅ × cos∅ = sin∅

Remember sec∅, I know you forgot. Well, cos∅ = 1/sec∅.

→ sin∅ = tan∅/sec∅

Hoping you remember sec²∅ - tan²∅ = 1, hence sec∅ = √(1 + tan²∅)

→ sin∅ = tan∅/√(1 + tan²∅)

Wait! Before going cos∅, I won't let you forget cosec∅.

→ cosec∅ = 1/sin∅

→ cosec∅ = √(1 + tan²∅)/tan∅

Let's now start with cos∅

→ cos∅ = sin∅/tan∅

We know value of sin∅, ryt?

→ cos∅ = tan∅/√(1 + tan²∅)/tan∅

→ cos∅ = 1/√(1 + tan²∅)

Yes, I won't let you forget sec∅

→ sec∅ = 1/cos∅

→ sec∅ = √(1 + tan²∅)

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HOPE IT HELPS