Question

Sammy wrote the following proof. What did he do wrong?

Answer 1

i think it would be D i hope i helped

Answer 2

Answer:

Choice B is correct answer.

Step-by-step explanation:

We have given a expression.

cos²∅tan²∅

We have to simplify above expression.

Since, we know that

tan²∅ +1 = sec²∅

cos²∅tan²∅ = cos²∅(sec²∅-1)

cos²∅tan²∅ = cos²∅sec²∅-cos²∅

since, sec∅ is reciprocal of cos∅.

sec∅ = 1/cos∅

cos²∅tan²∅ = cos²∅(1/cos²∅)-cos²∅

cos²∅tan²∅ = 1-cos²∅

Since, from following equation;

cos²∅+sin²∅ = 1

cos²∅tan²∅ = sin²∅

Hence, choice B is the answer.