For cos(2x) * (2cos(x) + 1) = 0, use the double angle identity for cos(2x), which is cos^2 x - sin^2 x = cos^2 x - (1-cos^2) = 2cos^2 x - 1.
So we have (2cos^2 x - 1)(2cos x + 1) = 0. So 2cos^2 x -1 = 0 or x = 0 and 2pi.
For 2sec^2 x + tan^2 x - 3 = 0, use the identity sec^2 x = tan^2 x + 1, so we have
2(tan^2 x + 1) + tan^2 x - 3 = 0 or
<span>2tan^2 x + tan^2 x - 1 = 0 or
</span>3 tan^2 x = 1.
So x = pi/2, pi/2 + pi = 3pi/2.
Answer: 15 juice pins per container
75 Juice pins ÷ 5
5 Containers ÷ 5
=
15 Juice pins
1 Container
=
15 Juice pins
1 Container
= 15 Juice pins per Container
Factor 16 out of 48m^12 -16
Your answer
16(3m^12 - 1)
1. Plug in -3 for a
14-(-3)^2
14-9
5
Final answer: 5
2. 15 more than r=15+r (notice the keyword more) equals 61
Final answer: r+15=61