Answer:
D
Step-by-step explanation:
28*17=476
Answer:
√(4/5)
Step-by-step explanation:
First, let's use reflection property to find tan θ.
tan(-θ) = 1/2
-tan θ = 1/2
tan θ = -1/2
Since tan θ < 0 and sec θ > 0, θ must be in the fourth quadrant.
Now let's look at the problem we need to solve:
sin(5π/2 + θ)
Use angle sum formula:
sin(5π/2) cos θ + sin θ cos(5π/2)
Sine and cosine have periods of 2π, so:
sin(π/2) cos θ + sin θ cos(π/2)
Evaluate:
(1) cos θ + sin θ (0)
cos θ
We need to write this in terms of tan θ. We can use Pythagorean identity:
1 + tan² θ = sec² θ
1 + tan² θ = (1 / cos θ)²
±√(1 + tan² θ) = 1 / cos θ
cos θ = ±1 / √(1 + tan² θ)
Plugging in:
cos θ = ±1 / √(1 + (-1/2)²)
cos θ = ±1 / √(1 + 1/4)
cos θ = ±1 / √(5/4)
cos θ = ±√(4/5)
Since θ is in the fourth quadrant, cos θ > 0. So:
cos θ = √(4/5)
Or, written in proper form:
cos θ = (2√5) / 5
Additive inverses are numbers that when added to another number equal 0. The additive inverse of 5 is -5 and the additive inverse of 6 is -6. Therefore, the new expression is -5-(-6) or -5+6.
Step-by-step explanation:
as the other triangle is Isosceles triangle which means it's two sides are equal and two angles are equal so
to find its 3rd angle apply angles sum property on it
according to which
2(68) + x = 180
136 + x = 180
x = 180 - 136
x = 44°
also we know, the other triangle is right angled triangle
so, it's one angle is 90° and 2nd angle is 44° (Vertically opposite angle)
therefore to know measure of angle 2 apply angle sum property of triangle in it too.
so,
90 + 44 + angle 2 = 180
134 + angle 2 = 180
angle 2 = 180 - 134
angle 2 = 46°
therefore, angle 2 is 46°
hope this answer helps you dear!
