Hi,
Work:
Equation;

Roots: (-9, 0), (8, 0)
Domain: x = R
Minimum: (-1/2, -289/4)
Vertical intercept: (0, -72)
Hope this helps.
r3t40
By applying the definitions of <em>trigonometric</em> functions, the <em>exact</em> values of the sine, secant and tangent of the point on the <em>terminal</em> side are
,
and
.
<h3>How to determine the exact values</h3>
In this question we need to find the exact values of three <em>trigonometric</em> functions associated with the <em>terminal</em> side of an angle. The following definitions are used:
Sine
(1)
Secant
(2)
Tangent
(3)
If we know that x = - 7 and y = 2, then the exact values of the three <em>trigonometric</em> functions:
Sine

Secant

Tangent

By applying the definitions of <em>trigonometric</em> functions, the <em>exact</em> values of the sine, secant and tangent of the point on the <em>terminal</em> side are
,
and
.
<h3>Remark</h3>
The statement reports typing errors, correct form is shown below:
<em>Let (x, y) = (- 7, 2) be a point on the terminal side of θ. Find the exact value of sin θ, sec θ and tan θ.</em>
To learn more on trigonometric functions: brainly.com/question/6904750
#SPJ1
LHS ⇒ RHS:
Identities:
[1] cos(2A) = 2cos²(A) - 1 = 1 - 2sin²(A)
[2] sin(2A) = 2sin(A)cos(A)
[3] sin(A + B) = sin(A)cos(B) + cos(A)sin(B)
[4] cos(A + B) = cos(A)cos(B) - sin(A)sin(B)
cos(x) - cos(x + 2Θ)
= cos(x) - (cos(x)cos(2Θ) - sin(x)sin(2Θ)) [4]
= cos(x) - cos(x)(1 - 2sin²(Θ)) + sin(x)(2sin(Θ)cos(Θ)) [1] [2]
= cos(x) - cos(x) + 2sin²(Θ)cos(x) + 2sin(Θ)sin(x)cos(Θ)
= 2sin²(Θ)cos(x) + 2sin(Θ)sin(x)cos(Θ)
= 2sin(Θ)(sin(Θ)cos(x) + sin(x)cos(Θ))
= 2sin(Θ)sin(x + Θ)
Answer:
Step-by-step explanation:
In the figure given:
∠ABC = 93°
∠BAC = 31°
∠CDE = 60°
To find ∠CED and ∠ACD.
Solution:
In triangle ABC, we are given two vertex angles. We can find the third angle as angle sum of triangle = 180°.
∠ABC = 93° , ∠BAC = 31°
∠BCA= 
∠BCA = 56°
[Supplementary angles forming a linear pair]

(Answer)
In triangle CDE:
[Exterior angle theorem :Exterior angle of a triangle is equal to sum of opposite interior angles ]


(Answer)