The trigonometry ratios for a specific angle ‘θ’ is given below:
●Trigonometric Ratios:-
Sin θ -Opposite Side to θ/Hypotenuse
Cos θ -Adjacent Side to θ/Hypotenuse
Tan θ-Opposite Side/Adjacent Side & Sin θ/Cos θ
Cot θ -Adjacent Side/Opposite Side & 1/tan θ
Sec θ -Hypotenuse/Adjacent Side & 1/cos θ
Cosec θ -Hypotenuse/Opposite Side & 1/sin θ
sine: Sine of an angle is defined as the ratio of the side opposite(perpendicular side) to that angle to the hypotenuse.
cosine: Cosine of an angle is defined as the ratio of the side adjacent to that angle to the hypotenuse.
tangent: Tangent of an angle is defined as the ratio of the side opposite to that angle to the side adjacent to that angle.
cosecant: Cosecant is a multiplicative inverse of sine.
secant: Secant is a multiplicative inverse of cosine.
cotangent: Cotangent is the multiplicative inverse of the tangent.
● Reciprocal Identities :-
The Reciprocal Identities are given as:
The reciprocal identities are: csc(x) = 1/sin(x), sec(x) = 1/cos(x), and cot(x) = 1/tan(x).
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The trigonometry ratios for a specific angle ‘θ’ is given below:
●Trigonometric Ratios:-
Sin θ -Opposite Side to θ/Hypotenuse
Cos θ -Adjacent Side to θ/Hypotenuse
Tan θ-Opposite Side/Adjacent Side & Sin θ/Cos θ
Cot θ -Adjacent Side/Opposite Side & 1/tan θ
Sec θ -Hypotenuse/Adjacent Side & 1/cos θ
Cosec θ -Hypotenuse/Opposite Side & 1/sin θ
sine: Sine of an angle is defined as the ratio of the side opposite(perpendicular side) to that angle to the hypotenuse.
cosine: Cosine of an angle is defined as the ratio of the side adjacent to that angle to the hypotenuse.
tangent: Tangent of an angle is defined as the ratio of the side opposite to that angle to the side adjacent to that angle.
cosecant: Cosecant is a multiplicative inverse of sine.
secant: Secant is a multiplicative inverse of cosine.
cotangent: Cotangent is the multiplicative inverse of the tangent.
● Reciprocal Identities :-
The Reciprocal Identities are given as:
Hope this information helps
The reciprocal identities are: csc(x) = 1/sin(x), sec(x) = 1/cos(x), and cot(x) = 1/tan(x).