Answer:
k=-j=15
Step-by-step explanation:
See attachment for step by step :)
Answer:
C
Step-by-step explanation:
(a^3b)^2 • 4ab^3
a^6b • 4ab^3
4a^6b+1b^3
Answer:
A. 9.8 ft
Step-by-step explanation:
first convert the degrees to radians:
80° x (pi/180) ≈ 1.396
arc length = r x θ (always in radians)
= 7 x 1.396
= 9.772 ≈ 9.8 ft
<span>(1 + cos² 3θ) / (sin² 3θ) = 2 csc² 3θ - 1
Starting with the left: Note that cos²θ + </span><span>sin²θ = 1.
In the same way: </span><span>cos²3θ + <span>sin²3θ = 1
</span></span>Therefore cos²3θ = 1 - <span>sin²3θ
</span> From the top: (1 + cos² 3θ) = 1 + 1 - sin²3θ = 2 - <span>sin²3θ
</span>
(1 + cos² 3θ) / (sin² 3θ) = (<span>2 - sin²3θ) / (sin² 3θ) = 2/</span><span>sin² 3θ - </span><span>sin²3θ/</span>sin²3θ
= 2/<span>sin² 3θ - 1; But 1/</span><span>sinθ = csc</span><span>θ, Similarly </span>1/sin3θ = csc3θ
= 2 *(1/sin<span>3θ)² - 1</span>
= 2csc²3θ - 1. Therefore LHS = RHS. QED.
