You're given that φ is an angle that terminates in the third quadrant (III). This means that both cos(φ) and sin(φ), and thus sec(φ) and csc(φ), are negative.
Recall the Pythagorean identity,
cos²(φ) + sin²(φ) = 1
Multiply the equation uniformly by 1/cos²(φ),
cos²(φ)/cos²(φ) + sin²(φ)/cos²(φ) = 1/cos²(φ)
1 + tan²(φ) = sec²(φ)
Solve for sec(φ) :
sec(φ) = - √(1 + tan²(φ))
Given that cot(φ) = 1/4, we have tan(φ) = 1/cot(φ) = 1/(1/4) = 4. Then
sec(φ) = - √(1 + 4²) = -√17
What statement?
Where is the he statement?
I think it’s F I’m not sure if it’s correct !
Answer:
They will be at a distance of 16 miles apart from each other.
Step-by-step explanation:
Both Joe and Anita start roller balding in opposite directions, and both of them have the same speed of 4 mph.
As they move oppositely in a straight line therefore, the distance between them will be the distance travelled by each of them's sum.
Distance covered by Joe in 2 hours= 8 miles
Distance covered by Anita in 2 hours= 8 miles
Therefore, the total distance from each other =16 miles
Answer:
173.15 ft.
Step-by-step explanation:
Please find the attachment.
Let L be the length of kite.
We have been given that a kite is stuck in 36-ft tree. The angle of elevation from the kite and the ground is 12.
We can see from our attachment that kite and tree form a right triangle. height of tree is opposite of angle of elevation and length of kite is hypotenuse.
Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use sine to find the length of kite.
Therefore, the length of kite is 173.15 ft.
