Given sin β + sin2 β = a, cos β + Cos2 β = B, prove (A & sup2; + B & sup2;) (A & sup2; + B & sup2; - 3) = 2B

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• 2. A = (COS α, sin α), B = (COS β, sin β), 0 < β < α < π if | A-B | = √ 2 prove a ⊥ B
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• 6. Known 0
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• 8. It is known that 5sin β = sin (2 α + β), cos α ≠ 0, cos (α + β) ≠ 0
• 9. Given 12sin α + 5cos α = 0, calculate the value of sin α and cos α
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• 14. If cos (α - Π / 6) + sin α = (4 / 5) √ 3 is known, then what is the value of sin (α + 7 Π / 6)?
• 15. It is known that cos (a-b / 2) = - 1 / 9, sin (a-2-b) = 2 / 3, and 0
• 16. If sin (π 3-A) = 14, then cos (π 3 + 2a) is equal to______ ．
• 17. 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)=
• 18. If (sin α + cos α) / (sin α - cos α) = 2, find the value of sin (α - 5 π) sin (3 π / 2 - α)
• 19. It is known that cos (4 / π + φ) = 4 / 5 and 3 π / 2
• 20. If cos (a + b) · cos (a-b) = 1 / 3, then the value of COS ^ 2 a-SiN ^ 2 B is?