Given that a is an acute angle and sin a + cos a = 2 and 3 / 3, then sin a and COS a are

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• 1. If sin α + cos α = m, sin α × cos α = n (m ＞ 0, n ＞ 0), then what is the relationship between M and N, What is "^"?
• 2. If sin α + cos α = m, sin α × cos α = n, then what is the relationship between M and N?
• 3. If sin α + cos α = m, sin α × cos α = n (m ＞ 0, n ＞ 0), what is the relationship between M and N,
• 4. It is known that both α and β are acute angles, and COS (α + β) = sin (α - β), then Tan α=______ ．
• 5. It is known that a (3,0), B (0,3), C (COS α, sin α), O are the coordinates of the origin 1. If the vector OC is parallel to the vector AB, find Tan α 2. Let f (α) = | vector OA - vector OC |, find the maximum and minimum of F (α), and find the corresponding value of α
• 6. It is known that a (2,0), B (0,2), C (COS θ, sin θ), O are the coordinate origin (1) Vector ac * vector BC = - 1 / 3, find the value of sin2 θ; (2) If ㄧ vector OA + vector OC ㄧ = root 7, and θ∈ (- π, 0), find the angle between vector OB and vector OC
• 7. We know that Tan α = xsin β 1 − xcos β, Tan β = ysin α 1 − ycos α, and prove that sin α sin β = XY
• 8. Why cos (α - π / 4) = (COS α xcos π / 4) + (sin α xsin π / 4)? Which formula is used? I haven't seen it before
• 9. It is known that FX = two-thirds of cos π xcos two-thirds of x-sin three-thirds of xsin two-thirds of x-2sinxcosx. When x belongs to two-thirds of π, π, the zero point of FX is zero
• 10. Xcos Ω / A + ysin Ω / b = 1, xsin Ω / a-ycos Ω / b = 1
• 11. When x approaches infinity, it is better to find the limit of LIM (sin ^ 2x-x) / (COS ^ 2x-x) with formula graph
• 12. To find the limit 1 / (sin * 2x) - 1 / {x * 2 (COS * 2x)} X -- 0, when the molecule is transformed into x * 2 cos * 2x-sin * 2 x, can we bring cos * 2x equal to 1 into the molecule x*2-sin*2x
• 13. Tan a + Tan B = - 4, Tan a, Tan B = - 7, find the value of sin ^ 2 (a + b) + 4sin (a + b) - cos ^ 2 (a + b)
• 14. (sinα-sinβ)^2+(cosα-cosβ)^2=4sin^2(α+β)/2
• 15. Given 12sin α + 5cos α = 0, calculate the value of sin α and cos α
• 16. It is known that 5sin β = sin (2 α + β), cos α ≠ 0, cos (α + β) ≠ 0
• 17. If α ∈ (0, π) is known, compare 2sin2 α with sin α / 1-cos α
• 18. Known 0
• 19. If 0 ＜ α ＜ π, 2sin2 α = sin α, then cos (2 α - π / 2)=
• 20. Given cos α = 1 / 4, α∈ (- π / 2,0), find sin (α + π / 4)