The values of the given trig functions in terms of sinθ and/or cosθ are:
sinθ = <u>tanθ.cosθ</u>
cosθ = <u>sinθ/tanθ</u>
secθ = <u>1/cosθ</u>
cscθ = <u>1/sinθ</u>
tanθ = <u>sinθ/cosθ</u>
cotθ = <u>cosθ/sinθ</u>
<h3>Trigonometric functions </h3>
From the question, we are to determine the values of the given trig functions in terms of sinθ and/or cosθ
NOTE: tanθ = sinθ / cosθ
∴ sinθ = tanθ.cosθ
From above, we can write that
cosθ = sinθ/tanθ
Secant is the <u>inverse</u> of cosine
∴ secθ = 1/cosθ
Cosecant is the <u>inverse</u> of sine
∴ cscθ = 1/sinθ
tanθ = sinθ/cosθ
Cotangent is the <u>inverse</u> of tangent
∴ cotθ = 1/tanθ
But, tanθ = sinθ/cosθ
∴ cotθ = cosθ/sinθ
Hence, the values of the given trig functions in terms of sinθ and/or cosθ are:
sinθ = <u>tanθ.cosθ</u>
cosθ = <u>sinθ/tanθ</u>
secθ = <u>1/cosθ</u>
cscθ = <u>1/sinθ</u>
tanθ = <u>sinθ/cosθ</u>
cotθ = <u>cosθ/sinθ</u>
Learn more on Trigonometric functions here: brainly.com/question/10316891
#SPJ1
y = mx + b
The product of slopes of perpendicular lines is -1. The slope of the given line is 2, so the slope of the perpendicular line is -1/2.
y = (-1/2)x + b
Now use the given point to find b and finish from here.
-5 = (-1/2)(2) + b
b = ?
In a proportion there are letters assigned to represent various numbers. a, b, c, and d.
a, b, c, and d are 4 non-zero rational numbers that are terms of proportion.
a/b = c/d or a:b = c:d
a and d are the end terms or known as the extremes.
b and c are the middle terms or known as the means.
With this information, we can gather that the extremes of the following proportion are 3 and 60.
3/15 = 12/60 ; a/b = c/d
a = 3 ; b = 15 ; c = 12 ; d = 60
3 and 60 are the extremes
15 and 12 are the means
Answer:A
Step-by-step explanation:
