Question: In Example 4, change the right side to tan x/sec x . Data from Example 4 In proving the identity we know that cot x

In Example 4, change the right side to tan x/sec x .

Data from Example 4

In proving the identity

sin.x COS X cotx

we know that cot x = cos x/ sin x. Because sin x appears on the left, substituting for cot x on the right will eliminate cot x and introduce sin x. This should help us proceed in proving the identity. Thus, starting with the right-hand side, we have

By showing that the right side may be changed exactly to sin x, the expression on the left side, we have proved the identity.

sin.x COS X cotx

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