Find A, B, and H So That F(x) a Sin $$f ( x ) = \sin 2 x - 3 \cos 2 x$$

question 378

Multiple Choice

Find a, b, and h so that f(x) a sin (b(x - h) ) . Round to two decimal places if necessary.
- $$f ( x ) = \sin 2 x - 3 \cos 2 x$$

• A) \(\mathrm { a } = 1.41 , \mathrm {~b} = 2 , \mathrm {~h} = 0.62\)
• B) \(\mathrm { a } = 3.16 , \mathrm {~b} = 4 , \mathrm {~h} = 0.95\)
• C) \(a = 3.16 , b = 2 , h = 0.62\)
• D) \(a = 0.62 , b = 4 , h = 3.16\)

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Definitions:

Shear Zone

A region of the Earth's crust where rocks have been deformed by shear stress, leading to the alteration of their structure and the development of foliation.

Supercontinent

A large landmass that includes more than one continental core, which in Earth's history has periodically merged and then broken apart.

Gondwana

Name given by geologists to the hypothetical combination of the southern continents into a single large supercontinent.

Tethys

Refers to an ancient ocean that existed between the continents of Gondwana and Laurasia before the opening of the Indian and Atlantic oceans.