Hello :
cos²(θ) +sin²(<span>θ) = 1
(1/4)² +sin²(</span><span>θ) = 1
</span>sin²(θ) = 1 -1/16
sin²(θ) =15/16
sin(θ) = - √(15/16)=- √15/4 because : <span>sin θ < 0.
</span>tan (θ) =sin (θ)/ cos( θ) =(- √15/4)/(1/4) = - √15
ANSWER
Option C and E
EXPLANATION
An arithmetic sequence has a constant difference among the consecutive terms.
The sequence

has a constant difference of -12.5

The sequence

also has a common difference of 16

Therefore correct answers are C and E
The answer would be 2 21/25.
Please see the <em>blue</em> curve of the image attached below to know the graph of the function g(x) = (1/3) · 2ˣ.
<h3>How to graph a transformed function</h3>
Herein we have an <em>original</em> function f(x). The <em>transformed</em> function g(x) is the result of <em>compressing</em> f(x) by 1/3. Then, we find that g(x) = (1/3) · 2ˣ. Lastly, we graph both function on a <em>Cartesian</em> plane with the help of a <em>graphing</em> tool.
The result is attached below. Please notice that the <em>original</em> function f(x) is represented by the red curve, while the <em>transformed</em> function g(x) is represented by the blue curve.
To learn more on functions: brainly.com/question/12431044
#SPJ1
Waves transport energy over distances.
Hope I helped! ( Smiles )