We will start off working on the right hand side.
<span>cot x - tan x </span>
<span>= [cos x / sin x] - [sin x / cos x] </span>
<span>= [(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>
<span>This is where it gets a bit tougher if you do not have your formula list with you. </span>
<span>(cos x)^ 2 - (sin x)^2 = cos(2x) </span>
<span>sin 2x = 2 sin x cos x </span>
<span>Note that by arranging the second formula, we will have sin x cos x = (1/2) sin 2x </span>
<span>Hence, we will get: </span>
<span>[(cos x)^ 2 - (sin x)^2] / [sin x cos x] </span>
<span>= [cos 2x] / (1/2)[sin 2x] </span>
<span>= 2[cos 2x] / [sin 2x] </span>
<span>= 2cot 2x </span>
Answer:
m∠A = 50°
m∠B = 70°
m∠C = 60°
Step-by-step explanation:
Determine the measure of angle A, B, and C in triangle ABC. If m∠A=(x-10)°,m∠B=(2x-50)°,and m∠C=x°
In a Triangle, the sum of the interior angles of a triangle = 180°
Step 1
We solve for x
Hence:
m∠A + m∠B + m∠C= 180°
(x-10)°+ (2x-50)°+ x° = 180°
x - 10 + 2x - 50 + x = 180°
4x - 60 = 180°
4x = 180° + 60°
4x = 240°
x = 240°/4
x = 60°
Step 2
Solving for each measure
x = 60°
m∠A=(x-10)°
= 60° - 10°
= 50°
m∠B=(2x-50)°
= 2(60)° - 50°
= 120° - 50°
= 70°
m∠C=x°
= 60°
Answer: the person would have to visit a total of twelve times for it to add up to $48
Step-by-step explanation:
48-15=33
then divide the 33 by 3 and you get 11 plus the 15 dollar membership and visit will get u 12 visits for $48.
We can not see the rest of 12
Answer: subtract 5 from both sides
Explanation: get rid of the 5 before moving on to isolating the variable