Write the following in terms of sin Θ and cos Θ; then simplify if possible. (Leave your answer in terms of sin Θ and/or cos Θ.) sec Θ − tan sin Θ

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

step-by-step explanation:

the multiplicative inverse of a fraction a/b is b/a. for the multiplicative inverse of a real number, divide 1 by the number. for example, the reciprocal of 5 is one fifth 1/5 or 0.2, and the reciprocal of 0.25 is 1 divided by 0.25, or 4.