Question

cosec a =15/7 and A+B=90 find valu of secA

Answer 1

$15 \div 4 \sqrt{11}$

Answer 2

Answer:

Sec A = 15/ 4√11

Step-by-step explanation:

Cosec A =15/7 = H/P

Let H = 15 k, P = 7 k

Apply Pythagoras theorem,

H² = B² + P²

(15 k)² =  B²+ (7 k)²

B² = (15 k)²- (7 k)² = (225 - 49) = 176

B =√ 2 * 11 * 2 * 2 * 2 = 4√11 k

Sec A = H/B = 15 k/ 4√11 k = 15/ 4√11

Sec A = 15/ 4√11