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:
b
Step-by-step explanation:
because i got it right
Answer:
According to the 180°-rotation rule, you take the OPPOSITE of both the x-coordinate and y-coordinate:
180°: [<em>x</em>, <em>y</em>] → [<em>-x</em>, <em>-y</em>]
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Answer:
160
Step-by-step explanation:
2² is 4 and the fourth multiple of 10 is 40.
Multiply those numbers together, and you get 160.
The probility of getting a tail is 1 (tail) to 2 total possibilities which will be 1/2. The probility for rolling a "2" is 1 to a total possibility of 6 so the probability of 1/6. Since these are independent events and you want both to happen, you need to multiply the two results which will be 1/2 * 1/6 which equals 1/12.
