Answer:
√2(√3 - 1)/4
Step-by-step explanation:
To find an exact value for Cos75°, we use the compound angle formula. Since 75° = 45° + 30°, Cos75° = Cos(45° + 30°).
Using Cos(A + B) = CosACosB - SinASinB where A = 45° and B = 30°,
Cos75° = Cos(45° + 30°) = Cos45°Cos30° - Sin45°Sin30°
Now Cos45° = Sin45° = 1/√2 = √2/2, Cos30° = √3/2 and Sin30° = 1/2.
Substituting these values into the above equation, we have
Cos75° = Cos(45° + 30°)
= Cos45°Cos30° - Sin45°Sin30°
= √2/2 × √3/2 - √2/2 × 1/2
= √6/4 -√2/4
= √2(√3 - 1)/4
Your answer would be (w+2)(w−10). If you want me to explain please don't hesitate to ask.
Answer:
your number is 8
Step-by-step explanation:
58-10=48
48 divided by 6=8
<span>P(9,12): For all intents and purposes, the hypotenuse is "r", the opposite side is "y", and the adjacent side is "x".
x = 9 (from the P(9,12))
y = 12 (also from the point)
Using the Pythagorean Theorem, you find out that r = 15.
Therefore, since cos θ = x/r
cos θ = 9/15 or 3/5
Answer: 3/5</span>
