Kingzion391 Kingzion391

06-11-2017
Mathematics

contestada

Find the exact value of sin (arccos (three fifths)). for full credit, explain your reasoning.

Respuesta :

Аноним Аноним

16-11-2017

We want to evaluate sin(cos⁻¹(3/5)).

Note that
sin²x + cos²x = 1
Therefore
sin²x = 1 - cos²x

Let y = cos⁻¹(3/5)
Then
cos(y) = 3/5
sin²y = 1 - cos²y = 1 - 9/25 = 16/25
sin(y) = 4/5

Therefore
sin(cos⁻¹(3/5)) = sin(y) = 4/5

Answer: 4/5

Answer Link

Otras preguntas

FH is tangent to circle E at point F. What is the measure of ZEFH? 80° 90° 160° 180°

A(n) _______ can prevent some bacterial diseases

how did French imperialism in Vietnam affext Southeast Asia

One nickel weighs 5 grams. Find how many nickels are in 7.5 kilograms.

2. Why does the name American create a feeling of shared pride?

Jessica went to the grocery store and Purchased cereal for $3.15, milk for $2.25 and bread for $2.60. She paid a sales tax of 7%. how much sales tax did she hav

You go to store by sneaker have coupon $15 off Write a function f(d) that models thos discount on item that cost d dollars

Given: triangle XYZ, segment XY is congruent to segment ZY, and YW bisects angle XYZ. Prove that angle YWZ is a right angle.

A weaver spends $420 on supplies to make wall hangings and plans to sell the wall hangings for $80 each. a. Write an inequality that gives the possible numbers

Robinson got up and with great effort walked to the spring, and there he cooled his burning feet and gathered some large leaves, which he bound on them. He d