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Given Tan (45 degrees + x) = 2, find the value of TaNx, sin2x + sin ^ 2 + cos ^ 2 As above
Tan (45 degrees + x) = (tan45 + TaNx) / (1-tan45tanx) = 2
(1+tanx)/(1-tanx)=2
tanx=1/3
Sin2x + sin ^ 2 + cos ^ 2 was not expressed clearly?
Find the parity of y = (Tan square x-tanx) / (1-tanx)
Y = (Tan squarex TaNx) / (1-tanx)
=tanx(tanx-1)/(1-tanx)
=-tanx
∵ TaNx is an odd function
ν y = (Tan squarex TaNx) / (1-tanx) is also an odd function
Find the inverse function y = 3x + 1, and you'd better tell me how to draw their images
The inverse function is: y of the original function is x of the inverse function
So x = 3Y + 1
Finishing y = (x-1) / 3
According to the symmetry of inverse function and original function about y = x, it is easy to draw
If you don't understand,
Seeking parabola formula Find parabola vertex formula, central line formula
The quadratic function y = ax ^ 2 + BX + C (a is not equal to 0) can be transformed into y = a (x + B / 2a) ^ 2 + (4ac-b ^ 2) / 4A
When x = - B / 2a, y gets the maximum value (4ac-b ^ 2) / 4A, so the vertex formula is [- B / 2a, (4ac-b ^ 2) / 4A]
The quadratic function is symmetric about x = - B / 2a, so the median line is - B / 2A
On the horizontal ground, a board with mass of 4 kg and length of L = 2 m, under the action of horizontal tension of F = 8 N, moves to the right at a speed of 2 m / s at a constant speed. At a certain moment, the block with mass of 1 kg (the object block can be regarded as a particle) is lightly placed on the rightmost end of the board (1) If there is no friction between the wood block and the board, find the time required for the object block to leave the board; (2) If there is friction between the object block and the board, and the dynamic friction coefficient between the object block and the board is equal to the dynamic friction coefficient between the board and the ground, how long does the board stop moving after the object block is placed on the board Big brother, is this the circular motion of the celestial body? It's not reliable
(1) If the friction coefficient between the board and the ground is u, so f = MGU = f, u = 0.2 because a block is placed, the friction force F '= (M + m) Gu, so the wood block will make a uniform deceleration motion with the acceleration a, and the time used is t, so v0t-1 / 2at2 = l can be solved by itself. (2) friction becomes: block to wood
The rated power of an electrical appliance is 8 watts, and the rated voltage of the appliance is less than 10 v. now, the appliance is connected in series with a resistance box under the voltage of 12 v. when the resistance value of the resistance box is 16 Ω, the electric power of the electric appliance is 0.25 times of its rated power, and its rated voltage is calculated
If the current is I and the voltage at both ends of the electrical appliance is u, then the voltage at both ends of the resistance box is 12-u. the current of the series circuit is equal, with (12-u) / 16 = 8 * 0.25/u, and u = 4 or u = 8, then the resistance of the appliance is 8 or 32. According to the known conditions, the rated voltage can be 8V
The value of arctan (3 / 4)
36.86989765°
Inverse trigonometric function table What are the angles where the sine equals 0.75 and 0.525, respectively,
solution
Arc sin 0.75 = 48 degrees 36 points = 48.6 degrees
Arc sin 0.525 = 31 degrees 40 points = 31.6667 degrees
Arctg calculation angle In the foundation of electrical engineering, the phasor representation of sinusoidal alternating current is discussed, angle = arctg B / A This can calculate an angle, such as angle = arctg 59.4/100 = 32 degrees How is this value calculated? Please explain how to calculate in detail, or where to find this table,
Arctg (also called arctan) is simply the inverse operation of TG, that is, TG 32 ° = 59.4 / 100, arctg 59.4 / 100 = 32 ° and sin and arcsin COS and a
Annuity terminal value calculation formula What is the meaning of the comma in brackets in F = a (F / A, I, n) and how to calculate it? For example, if f = 18 * (F / A, 10%, 10) = 18 * 15.937 = 286.87, how to calculate 15.937
The comma acts as a barrier
I represents the interest rate, n represents the number of periods, and (F / A, I, n) can be obtained by looking up the annuity present value coefficient table
Given the annuity a, it can be calculated according to the formula
937 is obtained by looking up the annuity terminal value coefficient table, not calculated. There are attached tables behind the financial management textbooks. The number of periods N and interest rate I can be found
RELATED INFORMATIONS
- 1. The mathematical formula of grade one to grade six in primary school
- 2. It is known that: in the triangle ABC, the opposite sides of angle a, angle B and angle c are a, B, C respectively, which satisfies the square of a + the square of B + the square of C + 338 = 10A + 24B + 26c
- 3. It is known that in △ ABC, ad is the midline on the edge of BC 2（AB+AC）．
- 4. It is known that a, B, C are the three sides of the triangle ABC, and the square of a is equal to B (B + C). It is proved that ∠ a = 2 ∠ B Come on
- 5. In △ ABC, ∠ a = 2 ∠ B, the residual angle of ∠ B is 5 times of that of ∠ a, and the relationship between ∠ A and ∠ B is______ .
- 6. y=x^2+2x(x
- 7. The definition domain of the inverse function of x ^ 2-2x + 3 (x ≤ 1) under y = root sign is?
- 8. Is the inverse function of log (x) the same as log (x) with respect to the symmetric image of the line y = x?
- 9. If two objects of the same mass are placed on a horizontal table top, the dynamic friction coefficient between them and the table top is the same, because the pulling force on the horizontal direction is different. If a moves at a constant speed and B moves at a variable speed, then the relationship between the sliding friction force and the sliding friction force on them is, write out the reason
- 10. Find all formulas of high school sine and cosine theorem (must be all)
- 11. Find the inverse function of the function y = LG (x + 2). (write the process of solving the problem)
- 12. It is known that M is the sum of all integers that satisfy the inequality of cubic negative radical 3 less than a less than cubic root 24, and N is the largest integer satisfying the inequality x less than or equal to the root 110-2 divided by 2. Find the square root of M + n
- 13. When cos α < 0 and Tan α < 0, what is the quadrant angle of α?
- 14. What quadrant is the acute angle Are all the angles of the first quadrant acute? Are the angles less than 90 ° acute? Must the angle of the second quadrant be larger than that of the first quadrant?
- 15. If the value range of function y = LG (ax? - x + 9) is r, then a belongs to--------
- 16. Given function f (x) = √ 3sinxcosx cos 2 x-cos 2 + 1 / 2 (x ∈ R) (1) Finding the minimum positive period of function f (x) (2) Finding monotone interval of F (x) (3) Find the value range of the function value of F (x) on the interval (0, π, 3]
- 17. It is known that the definition domain of odd function f (x) is (- ∞, 0) ∪ (0, + ∞), and f (x) is an increasing function on the interval (0, + ∞), and f (1) = 0. The function g (x) = - x ^ 2 + MX + 1-2m (1) It is proved that the function f (x) is also an increasing function on the interval (- ∞, 0); (2) Solving the inequality f (x) about X
- 18. What is nine Pai equal to
- 19. If x belongs to [- π, π], in order to make the equation SiNx radical 3cosx = m, there are two values of M
- 20. Calculation: (1) under 3 / 3 of the root sign, 27 under the root sign - 12 = () (2) 3 under the root sign (12 + 3 under the root sign and 75 under the root sign)= Calculation: (1) 3 minutes under the root sign 27- 12= () under the root sign. (2) 3 under the root sign (12+3 under the root sign and 75 under the root sign) = ()