Question

यदि 15 cot A = 8 हो तो sin A और sec A का मान ज्ञात कीजिए।

Answer 1

दिया गया है 15cotA = 8

अतः, cotA = 8/15 = आधार/लम्ब


अब, पायथागोरस प्रमेय से,

कर्ण² = आधार² + लम्ब²

= 8² + 15²

= 64 + 225

= 289 = 17²

कर्ण = 17

sinA = लम्ब/कर्ण = 15/17

secA = कर्ण/आधार = 17/8

Answer 2

Answer:

The value of Sin A = 15/17 and Sec A = 17/8.

Step-by-step explanation:

Consider the provided trigonometric value.

15 cot A = 8

Cot A = 8/15 (base/perpendicular)

Thus, the length of base is 8 unit and the length of perpendicular is 15 unit.

Now, we can find the value of hypotenuse with the help of Pythagorean Theorem.

(Hypotenuse)² = (Base)² + (Perpendicular)²

(Hypotenuse)² = (8)²+(15)²

(Hypotenuse)² = 64+225

(Hypotenuse)² = 289

Hypotenuse = 17

The value of Sin A = (perpendicular/hypotenuse) = 15/17

The value of Sec A = (hypotenuse/base) = 17/8

Hence, the value of Sin A = 15/17 and Sec A = 17/8.