u prove,EXERCISE 8.41. Express the trigonometric ratios sin A, sec A a

1.	u prove,EXERCISE 8.41. Express the trigonometric ratios sin A, sec A and tan A in terms of cotA.2. Write all the other trigonometric ratios of LA in terms of sec A.3. Evaluate:
Answer» sinA= 1/cosecA = 1 / √(1+cot²A) [ cot²A+ 1 = cosec²A, cosecA= √( 1+cot²A)] 2) tanA= 1/cotA 3) secA= √(1+tan²A) [sec²A= 1+tan²A , secA= √ (1+tan²A)] secA= √(1+ (1/cot²A)) = √ (1+1/ cot²A)secA = √(cot²A+1/cot²A) secA= √1+cot²A/ (cotA)

u prove,EXERCISE 8.41. Express the trigonometric ratios sin A, sec A and tan A in terms of cotA.2. Write all the other trigonometric ratios of LA in terms of sec A.3. Evaluate:

Answer»

sinA= 1/cosecA = 1 / √(1+cot²A)

[ cot²A+ 1 = cosec²A, cosecA= √( 1+cot²A)]

2) tanA= 1/cotA

3) secA= √(1+tan²A)

[sec²A= 1+tan²A , secA= √ (1+tan²A)]

secA= √(1+ (1/cot²A)) = √ (1+1/ cot²A)secA = √(cot²A+1/cot²A)

secA= √1+cot²A/ (cotA)