Hi there! In this problem, you should have the knowledge of three basic Trigonometric Ratio.
- sinA = opposite/hypotenuse
- cosA = adjacent/hypotenuse
- tanA = opposite/adjacent
Now that we know three basic ratio. Let's check each choices!
This choice is wrong because we focus on the 50° angle. When we focus on 50°, sin50° should be d/x and not d/c.
This choice is also wrong because in ratio, it's cos50° that adjacent/hypotenuse.
This choice is correct! As ratio states, tanA = opposite/adjacent.
This choice is wrong. x/c is a reciprocal of cosine which is 1/cos. We call the reciprocal of cosine as secant or sec in short.
This choice is wrong as x/d is a reciprocal of sine which is 1/sin. We call the reciprocal of sine as cosecant or cosec/csc in short.
This choice is right by the ratio. Nothing really much to explain since we follow by ratio that is defined.
Answer
Questions can be asked through comment.
Furthermore, tan also has its reciprocal form itself which is called cotangent also known as cot in short.
Hope this helps, and Happy Learning! :)
Answer:
2.
Step-by-step explanation:
The common difference is 5 so the first number is 7 - 5 = 2.
A^2 + b^ = c^2
c is the longest side of the triangle
a and b are the other two sides
So the given are the hypotenuse leg, and one of the other legs
So
a= ?
b= 12
c= 14
a^2+12^2=14^2
a^2+144=196
-144 -144
a^2=52
So we find the square root of 52
Which is 7.211 which you can round to 7.21 or 7.2
The equation of a horizontal line is
y
=
c
for some constant
c
Since we are told that the line passes through
(
x
,
y
)
=
(
−
4
,
6
)
Then for at least one point on the line
y
=
6
But for a horizontal line this value is a constant for all points on the line.
So the equation for all points on the line is
y
=
6