Cosθ = 15/17
Step-by-step explanation:
Sinθ = 8/17
We know that,
Sin^2 θ + cos^2 θ =1
64/289 + cos^2 θ =1
1 - 64/289 = cos^2 θ
225/289 = cos^2 θ
Cos θ = √225/289
Cos θ = 15/17
Answer:
x = 34°
Step-by-step explanation:
corresponding angles made by a transversal intersecting parallel lines are congruent.
Answer:
C
Step-by-step explanation:
3) 3.sec² Ф = 4.tan² Ф
but sec² Ф = 1/cos² Ф
3/cos² Ф = 4.tan² Ф
3/4 = (tan² Ф).(cos² Ф) ; tan² Ф = sin² Ф/cos² Ф
3/4 = (sin² Ф)x(cos² Ф)/(cos² Ф)
sin² Ф = 3/4
a) sin Ф = +(√3)/2 and b) sin Ф = - (√3)/2
sin Ф = + - (√3)/2 → Ф =π/3 + kπ/3
The first one and the second one are the correct sums
