Show that the following statement is an identity by transforming the left side into the right side. sinθ secθ cotθ = 1.
We begin by writing the left side in terms of sinθ and cosθ. We can then combine the fractions and reduce. sinθ secθ cotθ = sinθ 1/cosθ ____/sinθ = ______ / cosθsinθ
= 1
Because we have succeeded in transforming the left side into the right side, we have shown that the statement sin θ secθ cotθ = 1 is an identity.