Answer:
cos Θ
Step-by-step explanation:
I assume you mean
sec Θ − tan Θ sin Θ =
= 1 / cos Θ - sin Θ / cos Θ × sin Θ
= 1 / cos Θ - sin² Θ / cos Θ
= (1 - sin² Θ) / cos Θ Eq. 1
Recall the identity: sin² Θ + cos² Θ = 1
Subtract sin² Θ from both sides:
cos² Θ = 1 - sin² Θ
Substitute 1 - sin² Θ with cos² Θ in Eq. 1
= cos² Θ / cos Θ
= cos Θ
