Given 12sin α + 5cos α = 0, calculate the value of sin α and cos α

Sin α = 5 / 13 or - 5 / 13 cos α = 12 / 13 or - 12 / 13

RELATED INFORMATIONS

1. (sinα-sinβ)^2+(cosα-cosβ)^2=4sin^2(α+β)/2
2. 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)
3. 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
4. When x approaches infinity, it is better to find the limit of LIM (sin ^ 2x-x) / (COS ^ 2x-x) with formula graph
5. Given that a is an acute angle and sin a + cos a = 2 and 3 / 3, then sin a and COS a are
6. 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 "^"?
7. If sin α + cos α = m, sin α × cos α = n, then what is the relationship between M and N?
8. If sin α + cos α = m, sin α × cos α = n (m ＞ 0, n ＞ 0), what is the relationship between M and N,
9. It is known that both α and β are acute angles, and COS (α + β) = sin (α - β), then Tan α=______ ．
10. 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
11. It is known that 5sin β = sin (2 α + β), cos α ≠ 0, cos (α + β) ≠ 0
12. If α ∈ (0, π) is known, compare 2sin2 α with sin α / 1-cos α
13. Known 0
14. If 0 ＜ α ＜ π, 2sin2 α = sin α, then cos (2 α - π / 2)=
15. Given cos α = 1 / 4, α∈ (- π / 2,0), find sin (α + π / 4)
16. It is known that sin θ + cos θ = 1 - √ 3 / 2 (0 1 - √ 3 / 2 is the numerator is 1-radical 3 and denominator is 2
17. A = (COS α, sin α), B = (COS β, sin β), 0 < β < α < π if | A-B | = √ 2 prove a ⊥ B
18. It is known that sin α + sin β + sin γ = 0 and cos α + cos β + cos γ = 0. It is proved that cos ^ 2 α + cos ^ 2 β + cos ^ 2 γ is the fixed value
19. Given sin β + sin2 β = a, cos β + Cos2 β = B, prove (A & sup2; + B & sup2;) (A & sup2; + B & sup2; - 3) = 2B
20. Verification: 1 / Sin & sup2; a + 1 / cos & sup2; A-1 / Tan & sup2; a = 2 + Tan & sup2; a