Question

Express sin A and sec A in terms of cot A

Answer 1

sin = 1/cosecA
 
      = 1/√cosec²A
 
      = 1/√(1+cot²A)

sec A = √1+tan²A

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

Answer 2

sinA =1/cosec A
=1/1+cot2A
SecA=tan2A-1
=1/cot2A -1