The angle θ 1 is located in Quadrant IV, and cos ⁡ ( θ 1 ) = 9/ 19 , theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 9, divided by, 19, end fraction . What is the value of sin ⁡ ( θ 1 ) sin(θ 1 )sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis? Express your answer exactly.

Step-by-step explanation:

We are given that is in fourth quadrant.

is always positive in 4th quadrant and  

is always negative in 4th quadrant.

Also, we know the following identity about and :

Using \theta_1 in place of \theta:

We are given that

is in 4th quadrant so is negative.

So, value of

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

0.02

step-by-step explanation:

time of 9 192 631 770 periods of the radiation corresponding to the transition between the 2 hyperfine levels of the ground state of the caesium 133 atom at 0 k (but other seconds are sometimes used in astronomy)