It is known that cos (a + (1 / 4) PI) = 3 / 5 and PI / 2
Known π / 2
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- 1. Under the simplified radical [1-cos (a-pi)] 2 -3pi
- 2. Cos (a + b) = 12 / 13, cos (a-b) = - 12 / 13, and A-B belongs to (PI / 2, PI), a + B belongs to (3pi / 2,2pi) find cos2a-cos2b
- 3. First, cos (a + b) = 4 / 5. Cos (a-b) = - 4 / 5. A + B ∈ [7pi / 4,2pi]. A-B ∈ [3pi / 4, PI]. Cos2a =? Second, prove tan( The second problem proves that Tan (θ + π / 4) = [Tan θ + 1] / [1 - Tan θ]
- 4. cos(a+β)=3/5,cos(a-β)=12/13,0
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- 10. What is the running result of maple ('a: = ', 245674)
- 11. Given that a and B are acute angles, and sin (a + b) = 4 / 5, cos (a-b) = 3 / 5, is the first sin2a of sin2a and cos2a equal to 24 / 25?
- 12. If cos (π / 4-A) cos (π / 4 + a) = (√ 2) / 6 (0 < a < π / 2), then sin2a =?
- 13. In △ ABC, cos (PI / 4 + a) = 5 / 13, then sin2a=
- 14. Given sin2a = 24 / 25, a ∈ (0, π / 2), then cos (a + π / 2) =?
- 15. If the eigenvalues of matrix A of order 3 are known to be 1, - 1 and 2, then the eigenvalues of matrix A2 + 2E are
- 16. Who can help calculate the maximum eigenvalue of the following 21 order matrix Each line element is 1=0 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 2=1 0 1 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 0 0 3=1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 4=1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 5=1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 6=1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 7=1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 8=1 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 9=1 0 0 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 10=0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 11=0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 12=0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 13=0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 14=0 1 0 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 15=0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 0 0 0 0 16=0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 17=0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 18=0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 19=0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0 20=0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 21=0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 0
- 17. Please use matlab to calculate the maximum eigenvalue of this matrix and the corresponding eigenvector A= 1 2 3 3 2 1/2 1 2 2 2 1/3 1/2 1 1 2 1/3 1/2 1 1 2 1/2 1/2 1/2 1/2 1
- 18. Who can help me use matlab to calculate the maximum eigenvalue of the matrix and the eigenvector corresponding to the maximum eigenvalue, 1 1/7 1/3 7 1 1/5 3 5 1 1 1/3 3 3 1 5 The 1 / 3 1 / 5 1 matrix is like this
- 19. Use matlab to calculate the maximum eigenvalue of this matrix and its corresponding eigenvector? 1 2 1 3 2 1/2 1 1/3 2 1 1 3 1 4 2 1/3 1/2 1/4 1 2 1/2 1 2 1/2 1
- 20. Matlab calculates the maximum eigenvalue of the matrix and the eigenvector corresponding to the maximum eigenvalue 1 1/7 1/3 7 1 1/5 3 5 1