Question

SOLVE THIS
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Answer 1

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.

• Sin 30° = ½
• Cos 90° = 0
• Tan 45° = 1

● Reciprocal Identities :-

The Reciprocal Identities are given as:

• cosec θ = 1/sin θ
• sec θ = 1/cos θ
• cot θ = 1/tan θ
• sin θ = 1/cosec θ
• cos θ = 1/sec θ
• tan θ = 1/cot θ

Hope this information helps

Answer 2

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The reciprocal identities are: csc(x) = 1/sin(x), sec(x) = 1/cos(x), and cot(x) = 1/tan(x).