(cos B/cot B) + (sin B/tan B) = sin B + cos B

Question

Verify the Identity. 

Answer 1

cosB/cotB + sinB/tanB=sinB+cosB=sinB+cosB

cotB=cosB/sinB and tanB=sinB/cosB=

(cosB)(sinB/cosB)+(sinB)(cosB/sinB)=    (dividing by a number is the same as multiplying by its reciprocal)

simplify

sinB+cosB=sinB+cosB

Answer 2

(cos B/cot B) + (sin B/tan B) = sin B + cos B

deal with just left side of the equation

=(cos B *(sin B/cos B)) + (sin B*(cos B/sin B))...division is multiplication of the reciprocal

=sin B +cos B...cancel out cos B in first parentheses and sin B in second set of parentheses.