Solutions
To solve the given equation lets use double-angle theorem. Double-angle formulas allow the expression of trigonometric functions of angles equal to 2α<span> in terms of </span>α<span>, which can simplify the functions and make it easier to perform more complex calculations, such as integration, on them.
</span>cos(3t)=cos^3(t)-3sin^2(t)cos(t)
cos(A+B) = cosAcosB - sinAsinB
<span>Now cos(3t) = cos(2t+t) </span>
⇒<span>cos(2t)cos(t) - sin(2t)sin(t) </span>
⇒<span>(2cos^2(t)-1)cos(t) - 2sin(t)cos(t)sin(t) </span>
⇒<span> 2cos^(3)t - cos(t) - 2sin^2(t)cos(t) </span>
⇒<span> 2cos^3(t) - cos(t) - 2(1-cos^2(t))cos(t) </span>
⇒<span>2cos^3(t) - cos(t) - 2cos(t) + 2cos^3(t) </span>
⇒4cos^3(t) - 3cos(t)
The easiest variable you can solve for first is "z". Knowing that opposite angles of a quadrilateral inscribed in a circle are supplementary, subtract 93 from 180 to get z.
Z should equal 87.
The next variable we can solve for is "x". We know that inscribed angles are half the measure of their intercepting arc, so we know 93 is half of (112 + x). The equation would look like this:
93= (112 + x)/2
Multiply both sides by 2
186 = 112 + x
Subtract 112 from both sides
74 = x
Now we can apply the same method we used to find "x" to find y. Set up an equation like this:
80 = (y + x)/2
Substitute the value of x in
80 = (y + 74)/2
Multiply both sides by 2
160 = y + 74
Subtract 74 from both sides
86 = y
Hope this helps!
I know the answer but I don’t know what is happening with Brainly sorry
Answer:
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Step-by-step explanation:
