sin3x/sinx+cos3x/cosx
sin(3x)/sinx +cos(3x)/cosx
=[sin(3x)cosx+cos(3x)sinx]/(sinxcosx)
=sin(3x+x)/[(1/2)sin(2x)]
=2sin(4x)/sin(2x)
=4sin(2x)cos(2x)/sin(2x)
=4cos(2x)
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- 5. It is known that there are four intersections between the parabola y = X-2 and the ellipse X / 4 + y = 1, and the four intersections are in a circle, then the equation of the circle is___ .】
- 6. It is known that the parabola y = x * X-2 has four intersections with the ellipse y * y / 4 + X * x = 1. The equation of the circle with these four intersections is solved
- 7. The equation of the circle passing through the four intersections of ellipse x ^ 2 / A ^ 2 + y ^ 2 / b ^ 2 = 1 and Y ^ 2 / A ^ 2 + x ^ 2 / b ^ 2 = 1 (a > b > 0)
- 8. It is known that the focus of the ellipse is on the x-axis, passing (2, root sign 3), and the eccentricity is root sign 3 / 2
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- 10. If the hyperbola and ellipse 3x ^ 2 + 4Y ^ 2 = 48 are in common focus, and the real axis length is equal to 2, then the hyperbolic equation is?
- 11. Let f (SiNx) = cos2x, then f (1 / 3) is equal to?
- 12. Given the vector a = (SiNx, 1), B = (cosx, 1), X ∈ R. (1) when x = π 4, find the coordinates of vector a + B; (2) if the function f (x) = | a + B | 2 + m is an odd function, find the value of real number M
- 13. Given the vector a = (SiNx, 2), B = (1, - cosx), and a is perpendicular to B, find the value of TaNx and Tan (x-card / 4)
- 14. Given that the vector a = (SiNx, 2) the vector b = (|, - cosx), and the vector a is perpendicular to the vector B. 1::: find the value of TaNx 2: find the value of Tan (x-wu / 4),
- 15. Given the vector a = (1 / 2, √ 3 / 2), B = (cosx, SiNx). If a · B = 2cos [(12K π + 13 π) / 6 + x] (K ∈ z), find the value of Tan (x + 5 π / 12) Only the answer is OK
- 16. Given the vector α = (cosx, SiNx), B = (√ 2, √ 2), a · B = 8 / 5, then the value of Tan (x - π / 4) is
- 17. If x is less than or equal to 90 degrees, greater than or equal to 0 degrees, SiNx * cosx = 1 / 2, then 1 / (1 + SiNx) + 1 / (1 + cosx) =? Detailed process! I'll collect it in an hour
- 18. Find the range of function f (x) = SiNx sinxcosx + cosx, X ∈ (π / 2,3 π / 2)
- 19. (SiNx + cosx) / (SiNx cosx) = 2, then sinxcosx =?
- 20. X is (0, π / 2). If sinxcosx = 1 / 2, find the value of 1 / (1 + SiNx) + 1 / (1 + cosx)