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2 years ago

Write the expression as one involving only sin x and cos x. sin 2x + cos x

Mathematics

1 answer:

AfilCa [17]2 years ago

6 0

Answer:

sin 2x + cos x = 2 sin x cos x + cos x = (2 sin x + 1)cos x

Step-by-step explanation:

Given the expression: sin 2x + cos x,

then we can use the formula: sin 2x = 2 sin x cos x, which gives:

sin 2x + cos x = 2 sin x cos x + cos x = (2 sin x + 1)cos x

So there you have two expressions in terms of sin x and cos x, as requested. :D

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The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form. An algebra tile configur

Over [174]

Answer:

$f(x)=(x-1)^2-7$

Step-by-step explanation:

Standard form:

$f(x)=x^2-2x-6$

Vertex form:

$y=(x-h)^2+k$

(h, k) is the vertex

x is the coordinate of the vertex

To find x use the formula:

$x=\frac{-h}{2a}$

$f(x)=x^2-2x-6$

a=1

b=-2

c=-6

Substitute:

$x=\frac{-(-2)}{2(1)}=1$

Substitute x in equation:

$f(x)=1^2-2(1)-6\\f(x)=1-2-6\\f(x)=-7$

h=1

k=-7

Substitute h, and k into the vertex formula:

$f(x)=(x-1)^2-7$

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3 years ago

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