The solution of the given equation is :
cosθ = 1/2 when θ = π/3 + 2kπ or 5π/3 + 2kπ
cosθ = -1 when θ = π + 2kπ
Since cos2θ + sin2θ = 1, sin2θ = 1 - cos2θ
So, the given equation is equivalent to 2(1 - cos2θ) - cosθ = 1
-2cos2θ - cosθ + 1 = 0
2cos2θ + cosθ - 1 = 0 (multiplying the entire equation by -1)
(2cosθ - 1)(cosθ + 1) = 0 (taking common)
cosθ = 1/2 or cosθ = -1 (on equating it to zero)
cosθ = 1/2 when θ = π/3 + 2kπ or 5π/3 + 2kπ
cosθ = -1 when θ = π + 2kπ
For more information about trigonometric ratios, visit
brainly.com/question/24496175
Step-by-step explanation:
<h3>1. x² + 4 = (x+2)² </h3>
<h3> : x² + 4 = x² + 4 (Yes)</h3>
<h3>2. (2x+6)²= 4(x+3)²</h3>
<h3> : 4x²+36 = 4x² + 36 ( Yes)</h3>
<h3>3. (x-3)(x-3)= (x-9)² (NO)</h3>
<h3>beacause , True statement is</h3><h3> (x+3)(x-3)= (x-9)²</h3>
<h3>4. x²-10x+25 = (x-5)(x+5) (No)</h3>
<h3> : x²-2x+y² = (a-b)(a+b) </h3>
<h3>Therefore, its not true statement!</h3>
Answer:
288 miles
If we have the distance, we divide by 36 instead to find how many gallons of gas he used.
Step-by-step explanation:
180/5=36 miles per gallon
8 gallonsx36 miles per gallon=288 miles
pls mark brainliest
Step-by-step explanation:
Quadrilateral ABCD is inscribed in a circle.
Opposite angles of a Quadrilateral are Supplementary.
