CommanderMAM CommanderMAM

24-08-2020
Mathematics

contestada

Find sin(2A) if sin(A)=[tex]\frac{1}{4}[/tex] and [tex]0\leq A\leq \frac{\pi }{2}[/tex]

Respuesta :

MathPhys MathPhys

24-08-2020

Step-by-step explanation:

sin(2A)

Use double angle formula:

= 2 sin(A) cos(A)

Use Pythagorean identity. 0 ≤ A ≤ π/2, so cos(A) > 0.

= 2 sin(A) √(1 − sin²(A))

Substitute and simplify.

= 2 (¼) √(1 − (¼)²)

= ½ √(¹⁵/₁₆)

= ⅛ √15

Answer Link

Otras preguntas

Which is the best example of the influence of athenian democracy on later governments? a. the absolute monarchies of europe's middle ages b. the representativ

which shows a way to take apart 4?

Which religious issues did the rulers of the Mughal Empire face? Choose all answers that are correct. A) to rule a large population that belonged to a differ

When light strikes the second medium, what are the two things that happen?

What is 112.4% expressed as a decimal?

Select the answer that is the best version of the following sentence. A. The movie has barely begun when the house lights go on and someone began screaming, "He

How does the scientific process generally begin

Deductive reasoning uses __________ information to justify a specific claim; inductive reasoning uses __________ information to support a general conjecture.

An unofficial, invisible barrier that prevents women and minorites from advancing in businesses dominated by white men

Which word belongs in this set of words? telepathy, telegraph, telephone, television, ____________ a. teleport b. temerity c. temporary d. tepid