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.
