Answer:
A) sin θ = 3/5
B) tan θ = 3/4
C) csc θ = 5/3
D) sec θ = 5/4
E) cot θ = 4/3
Step-by-step explanation:
We are told that cos θ = 4/5
That θ is the acute angle of a right angle triangle.
To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.
Now, the identity cos θ means adjacent/hypotenuse.
Thus, adjacent side = 4
Hypotenuse = 5
Using pythagoras theorem, we can find the third side which is called opposite;
Opposite = √(5² - 4²)
Opposite = √(25 - 16)
Opposite = √9
Opposite = 3
A) sin θ
Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;
sin θ = 3/5
B) tan θ
Trigonometric ratio for tan θ is opposite/adjacent. Thus;
tan θ = 3/4
C) csc θ
Trigonometric ratio for csc θ is 1/sin θ. Thus;
csc θ = 1/(3/5)
csc θ = 5/3
D) sec θ
Trigonometric ratio for sec θ is 1/cos θ. Thus;
sec θ = 1/(4/5)
sec θ = 5/4
E) cot θ
Trigonometric ratio for cot θ is 1/tan θ. Thus;
cot θ = 1/(3/4)
cot θ = 4/3
Answer:
x > -15
Step-by-step explanation:
-x / 3 < 5
(-x / 3) * 3 < 5 * 3
-x < 15
x > -15 (Remember to flip the sign when multiplying or dividing an inequality by a negative number.)
Answer: question question for you to do a walk on a walk and jog on a walk on a field trip and jog the field of a walk on the walk in a walk on the field and jog jog the
Step-by-step explanation:
Answer: 3x-6
Step-by-step explanation:
Let the number be x
3 times the number is 3x
6 less than 3x is 3x-6
Answer:
each side is 31cm
Step-by-step explanation:
91/3=31
31+31+31=93
