Answer:
<h3>cosθ = c/√1+c²</h3>
Step-by-step explanation:
Given cot θ = c and 0 < θ < π/2
In trigonometry identity:
cotθ = 1/tanθ = c
1/tanθ = c
cross multiply
tanθ = 1/c
According to SOH, CAH, TOA:
Tanθ = opposite/adjacent = 1/c
cosθ = adjacent/hypotenuse
To get the hypotenuse, we will use the pythagoras theorem:
hyp² = opp²+adj²
hyp² = 1²+c²
hyp = √1+c²
Find cosθ in terms of c
cosθ = c/√1+c²
Hence the formula for cos θ in terms of c is cosθ = c/√1+c²
<em>Answer:</em>
<em>4</em>
<em>Step-by-step explanation:</em>
<em>2(6x+4)-6+2x=3(4x+3)+1</em>
<em>=14x+2=12x+10</em>
<em>=14x+2-2=12x+10-2</em>
<em>=14x=12x+8</em>
<em>=14x-12x=12x+8-12x</em>
<em>=2x=8</em>
<em>=2x/2=8/2</em>
<u><em>x=4</em></u>
<u><em></em></u>
It should evaluate the middle term -2*6/2 first.