sin x = cos 54 = sin (90-54) = sin 46
Hence x = 46 deg
Same technique. Sin 21 = cos (5x+9) = sin (90-5x-9)
81-5x = 21
Or 5x = 60
Or x = 12 deg
hope it helps
Answer:
1/3 is the simplified form for given expression.
Step-by-step explanation:
Given that:
=![\sqrt[-3]{27}](https://tex.z-dn.net/?f=%5Csqrt%5B-3%5D%7B27%7D)
By simplifying:
Radical sign will be removed as follows:
= 
For removing the "-" sign from power, base will be inverted:
= 
27 can also be written as 3 * 3 * 3 = 3^3
So,
= 
= 
By simplifying we get:
= 1/3
i hope it will help you!
By applying Pythagorean theorem, we have proven that the point (-1/2, -√3/2) lies on the unit circle.
<h3>How to prove this point lies on the unit circle?</h3>
In Trigonometry, an angle with a magnitude of -120° is found in the third quarter and as such, both x and y would be negative. Also, we would calculate the reference angle for θ in third quarter as follows:
Reference angle = 180 - θ
Reference angle = 180 - 120
Reference angle = 60°.
For the coordinates, we have:
sin(-120) = -sin(60) = -1/2.
cos(-120) = -cos(60) = -√3/2.
By applying Pythagorean theorem, we have:
z² = x² + y²
z = √((-1/2)² + (-√3/2)²)
z = √(1/4 + 3/4)
z = √1
z = 1.
Read more on unit circle here: brainly.com/question/9797740
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If you were to write it fully, as an equation, I believe it would look like this:
x²(4x-x) *4x
Therefore allowing you to simplify the area within the bracket into:
x²(3x)*4x
To expand, you simply start on the left and work your way across.
3x³*4x= 12x⁴
