Question

9. Cosecant A abbreviated as​

Answer 1

Cosec A

• Sine A is the opposite side of angle A divided by Hypotenuse. It is abbreviated as ‘Sin A’
• Cosine A is the adjacent side of angle A divided by Hypotenuse and is abbreviated as ‘cos A’
• Secant A is abbreviated as ‘sec A’ and is a reciprocal of cos A
• Tangent A is abbreviated as ‘tan A’
• Cotangent A is abbreviated as ‘cot A’ and is a reciprocal of tan A.
• Cosecant A is the reciprocal of 'sin A' and is written as cosec A in short

Here Angle A is an angle in right angle other than 90°

1. Cos A is the reciprocal of sec A
2. Cosec A is the reciprocal of sin A
3. Cot A is the reciprocal of tan A

Basic trigonometrical identity:

Sin A ÷ Cos A = Tan A

Basic Trigonometric identities:

a) sin²A + cos²A = 1

b) 1 + cot²A = cosec²A

c) sec²A = 1 + tan²A

Answer 2

Answer:

The abbreviation of secant is sec. The cosecant function is the reciprocal of the sine function. The abbreviation of cosecant is csc or cosec. The cotangent function is the reciprocal of the tangent function.