Question

Express sinA cotA cosecA interms of sec A

Answer 1

Answer:

Step-by-step explanation:

[ i ] sinA in terms of cotA :

sinA = 1 / cosecA

We know that: cosec²A = 1 + cot²A

sinA = 1 / √1 + cot²A

[ ii ] secA in terms of cotA :

We know that: 1 + tan²A = sec²A

secA = 1 + tan²A

secA = 1 + 1 / cot²A

secA = √(cot²A + 1 ) /cotA

[ iii ] tanA in terms of cotA :

tanA = 1 / cotA