Answer:
The solutions of the equation are 0 , π
Step-by-step explanation:
* Lets revise some trigonometric identities
- sin² Ф + cos² Ф = 1
- tan² Ф + 1 = sec² Ф
* Lets solve the equation
∵ tan² x sec² x + 2 sec² x - tan² x = 2
- Replace sec² x by tan² x + 1 in the equation
∴ tan² x (tan² x + 1) + 2(tan² x + 1) - tan² x = 2
∴ tan^4 x + tan² x + 2 tan² x + 2 - tan² x = 2 ⇒ add the like terms
∴ tan^4 x + 2 tan² x + 2 = 2 ⇒ subtract 2 from both sides
∴ tan^4 x + 2 tan² x = 0
- Factorize the binomial by taking tan² x as a common factor
∴ tan² x (tan² x + 2) = 0
∴ tan² x = 0
<em>OR</em>
∴ tan² x + 2 = 0
∵ 0 ≤ x < 2π
∵ tan² x = 0 ⇒ take √ for both sides
∴ tan x = 0
∵ tan 0 = 0 , tan π = 0
∴ x = 0
∴ x = π
<em>OR</em>
∵ tan² x + 2 = 0 ⇒ subtract 2 from both sides
∴ tan² x = -2 ⇒ no square root for negative value
∴ tan² x = -2 is refused
∴ The solutions of the equation are 0 , π
I believe it is when the forces action on the object are balanced. Hope it helps!
Which data set represents the box plot? A) {56, 66, 93, 90, 57, 66, 69, 68, 76, 64, 48} B) {56, 66, 95, 90, 57, 66, 69, 68, 76,
iVinArrow [24]
Answer:
B) {56, 66, 95, 90, 57, 66, 69, 68, 76, 64, 51}
Step-by-step explanation:
{56, 66, 95, 90, 57, 66, 69, 68, 76, 64, 51} is the only data set that matches the maximum and minimum, upper and lower quartile, and median values.
Answer:
Step-by-step explanation:
No, the equation cannot be written with the given information. The distance from the catapult when the watermelon reached the maximum height is needed. Since the watermelon did not start on the ground, it cannot be assumed that the maximum was reached half the distance to the landing point.
Answer:
C.
Step-by-step explanation:
The next step is to add (1/2 * 8)^2 = 4^2 = 16 to the 8x and subtract 16 from the + 6:
- to give (x^2 + 8x + 16) + 6 - 16 as the next step in the process.
The extreme minimum is +6 - 16 = -10.
