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GalinKa [24]
3 years ago
8

Which statement regarding the function y=cos(x) is true?

Mathematics
2 answers:
Amanda [17]3 years ago
7 0
Cos(x)=cos(-x)-For apex people who are trying to make sure.
MAVERICK [17]3 years ago
6 0
<span>A. cos(x) = cos(-x)  [correct, since cos(x) is an even function]
B. Since the cosine function is even, reflection over the x-axis [y-axis] does not change the graph.  [false]
C. cos(x) = -cos(x)   [ false]
D. The cosine function is odd [even], so it is symmetrical across the origin.   [false]</span>
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4 years ago
Orthogonalizing vectors. Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, a
jeka57 [31]

Answer:

\\ \gamma= \frac{a\cdot b}{b\cdot b}

Step-by-step explanation:

The question to be solved is the following :

Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if b \neq 0. Recall that given two vectors a,b  a⊥ b if and only if a\cdot b =0 where \cdot is the dot product defined in \mathbb{R}^n. Suposse that b\neq 0. We want to find γ such that (a-\gamma b)\cdot b=0. Given that the dot product can be distributed and that it is linear, the following equation is obtained

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\gamma= \frac{a\cdot b}{b\cdot b}

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\gamma_2 = \frac{a\cdot b}{b\cdot b}= \gamma

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