Confused what the question is. Are you looking for the product or the zeroes?
If you are looking for the product, then:
Use foil to get: sec²(1) - sec²(-csc²) -1(1) -1(-csc²)
= sec² + sec²csc² - 1 + csc²
= sec²csc² + sec² + csc² - 1
= sec²csc² + 1 - 1 (NOTE: sec² + csc² = 1 is an identity)
= sec²csc²
Answer: sec²csc²
***************************************************
If you are looking for the zeroes, then:
Using the zero product property, set each factor equal to zero and solve.
<u>First factor:</u>
sec²Θ - 1 = 0
sec²Θ = 1
secΘ = 1, -1
remember that secΘ is
= 1 = -1
cross multiply to get:
cosΘ = 1 cosΘ = -1
use the unit circle (or a calculator) to find that Θ = 0 and π
<u>Second factor:</u>
1 - csc²Θ = 0
1 = csc²Θ
1, -1 = cscΘ
remember that cscΘ is
= 1 = -1
cross multiply to get:
sinΘ = 1 sinΘ = -1
use the unit circle (or a calculator) to find that Θ = and
Answer: 0, π, ,
Answer:
14 in^3.
Step-by-step explanation:
The volume = volume of the bottom prism + volume of the top pyramid
= area of base * height of the prism + 1/3 * area of base * height of the pyramid
= 2 * 1.5 * 4 + 1/3 * (2*1.5) * 2
= 3*4 + 1/3 * 6
= 14 in^3.
The answer is b because volume=length x width x height
16. It is the only even number in the group. I know this because:
25/2 = 12.5
16/2 = 8
49/2 = 24.5
63/2 = 31.5
81/2 = 40.5
:) Hope I helped