Expressing arcsin5 / 13 + arccos (- 3 / 5) with an inverse trigonometric function value I want to ask why the final inverse triangle is expressed in COS instead of sin Is there anything particular about using sin or cos

Because what he wants to show is the angle of the second quadrant, if it is
Arcsin angle may be the first quadrant or the second quadrant

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1. If x is the smallest internal angle in a triangle, then the range of the function y = SiNx + cosx is () A. [12，22]B. （0，32]C. （1，2]D. （12，22]
2. If x is an internal angle of a triangle, then what is the range of the function y = SiNx + cosx? Why 45
3. How to calculate the integral of 1 / ((SiNx + cosx) ^ 2)? RT
4. Y = (SiNx + cosx) ^ 2 + 2cosx ^ 2, find the decreasing interval, maximum and minimum
5. Find the minimum positive period of F (x) = SiNx / 2 quartic power + cosx / 2 quartic power + quarter root sign three times sin2x
6. If the maximum value of the function y = a SiNx + 3cosx + 1 is 6, then a=
7. If the curve V is the square of the surface y = x, y = x, x + y + Z = 2, and z = 0 is the defined area, then fffdxdydz =? Calculus
8. Who can clearly tell me how to calculate double integral Just in contact with two-dimensional random variables in probability theory, it's difficult to be solved by double integral. How can this problem be solved For example, ∫ e ^ - (x + 2Y) x, Y > 0 Is the upper and lower limits x ~ 0,0 Should I separate ∫∫ e ^ - (x + 2Y) into ∫ e ^ - x ∫ e ^ - 2Y and then calculate the integral separately, or should I integrate the e ^ - (x + 2Y) integral again, but if so, there are two variables in it. How should I calculate the integral The upper limit is x and Y. who will write me a specific process The original problem is f (x, y) = AE ^ - (x + 2Y), x, Y > 0, finding constant A. I just want to know the algorithm of this type of problem
9. Using spherical coordinates to calculate triple integral I = ∫∫∫ Z ^ 2dV, where the graph is composed of x ^ 2 + y ^ 2 + Z ^ 2
10. Party A and Party B want to jointly contract a project. Party A will complete the project within 30 days and Party B will complete the project within 20 days. The contract stipulates that the project will be completed within 15 days. Otherwise, a fine of 1000 yuan will be imposed for each day. Party A and Party B sign the contract after discussion. (1) under normal circumstances, can party A and Party B perform the contract? Why? (2) Now they have cooperated in 75% of the project. Because there is something urgent elsewhere, one person must be transferred. Who is more suitable? Why?
11. Y = 1 + sin (2x) + 2cos ^ 2 (x) = 1 + sin (2x) + 1 + cos (2x) = 2 + sin (2x) + cos (2x) = 2 + √ 2Sin (2x + π / 4), so the period is π =2 + √ 2Sin (2x + π / 4)
12. It is proved that 3arccosx arccos (3x-4x & # 178;) = π, (- 1 / 2 ≤ x ≤ 1 / 2)
13. How to find the indefinite integral of (x + 1) / (x ^ 2 + 2x)?
14. Finding indefinite integral ∫ (e ^ 2x) / (2 + e ^ x) DX Such as the title
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