Let sin θ + cos θ = √ 2 / 3, π / 2 Sin θ ^ 3 is the third power of sin θ

From sin θ + cos θ = √ 2 / 3, we can get sin θ * cos θ = - 7 / 18,
(sinθ-cosθ)^2=(sinθ+cosθ)^2-4sinθ*cosθ=16/9,
π/2

RELATED INFORMATIONS

1. 2 / 3 π is known
2. Given cos (a - π / 6) + sin α = 4 √ 3 / 5, then the value of sin (α - 7 π / 6) is My answers are - (4 + 3 √ 3) / 10 and - (4-3 √ 3) / 10, but not in the options Ask for detailed explanation
3. If cos (π / 6 - α) is known, then cos (5 π / 6 + α) × sin (2 π / 3 - α) =
4. It is known that sin α - sin β = 1 / 4, cos α + cos β = 1 / 3 I got the answer - 163 / 288, but the teacher gave me a little red fork
5. If sin α + cos α = 13, then sin 2 (π 4 - α) = () A. 118B. 1718C. 89D. 29
6. If cos (a + b) · cos (a-b) = 1 / 3, then the value of COS ^ 2 a-SiN ^ 2 B is?
7. It is known that cos (4 / π + φ) = 4 / 5 and 3 π / 2
8. If (sin α + cos α) / (sin α - cos α) = 2, find the value of sin (α - 5 π) sin (3 π / 2 - α)
9. Sin α + cos β = 1 / 5, cos α + sin β = 1 / 3, find sin (α + β)= Sin α + cos β = 1 / 5, cos α + sin β = 1 / 3, find sin (α + β)=
10. If sin (π 3-A) = 14, then cos (π 3 + 2a) is equal to______ ．
11. The limit of LIM (1-x ^ 2) / sin Wu x when x approaches 1 Why not multiply a bounded function by infinitesimal and then equal 0
12. Find [ln (1 + x)] / X when x approaches the limit of 0,
13. Find the limit when (1 / ln (x + 1) - 1 / x) x approaches 0
14. When x approaches infinity, the limit is {sin (x) ^ 2-x} \ {(cosx) ^ 2-x} How much is the limit when x approaches integral infinity
15. Four times of X is 18 more than 10, and the equation is (); four times of X is 18 more than 10, and the equation is (); four times of X is 18 more than itself, and the equation is ()
16. 1. Two thirds of a number is 12. What is three fourths of this number? 2. What is a number plus two seventh of it equal to 7?
17. What is the linear equation passing through the intersection and origin of two straight lines 3x + 2y-3 = 0 and 2x + y-6 = 0? How to determine the slope?
18. The number of sets satisfying {1,2,3} proper subset m {1,2,3,4,5,6,} is A.8 B.7 C.6 d.5
19. What's five times five out of six?
20. How to find the intersection of positive proportion function and inverse proportion function y=6/X y=2x