cos θ = Adjacent/ hypotenuse
cosθ= 5/13
a²+b²= c²
a² + 5² = 13²
a² = 13² - 5²
a² = 144
a=√144
a= 12
<u>a</u> is the opposite = 12
<u>b</u> is the Adjacent = 5
<u>c</u> is the hypotenuse = 13
a) tan θ= opposite/Adjacent
tan θ = 12/5
b) sin θ= opposite/ hypotenuse
sinθ= 12/13
C) sec θ= hypotenuse / Adjacent
sec θ= 13/5
d) cscθ= hypotenuse /opposite
cscθ= 13/12
e) cotθ=Adjacent/ opposite
cotθ= 5/12
Answer:
the y coordinate is sin
Step-by-step explanation:
Remember, the x coordinate is cos and the y coordinate is sin
Answer:
x=129 degrees
Step-by-step explanation:
For this problem, you need to understand the concept of supplementary angles. Supplementary angles are two angles that add up to 180 degrees. Because the angles are adjacent and are formed by the intersection of two lines, we know that
x+51=180
So,
x=129 degrees
Answer:
DB = CA (Proved)
Step-by-step explanation:
Statement 1.
∠D = ∠C, M is the midpoint of DC and ∠1 = ∠2
Reason 1.
Given
Statement 2.
Between Δ DBM and Δ CAM,
(i) DM = CM,
(ii) ∠D = ∠C and
(iii) ∠DMB = ∠CMA
Reason 2.
(i) given
(ii) given and
(iii) ∠ DMB = ∠1 + ∠AMB and ∠CMA = ∠2 + ∠AMB
Since ∠1 = ∠2, so, ∠DMB = ∠CMA.
Statement 3.
Δ DBM ≅ Δ CAM
Reason 3.
By angle-side-angle rule.
Statement 4.
DB = CA
Reason 4.
Corresponding sides of two congruent triangles. (Answer)