If alpha and beta are fourth quadrant angle such that sin alpha = 3 / 5 and sec beta = 17 / 15, ...

Question:

If {eq}\alpha \ and \ \beta {/eq} are fourth quadrant angle such that {eq}\sin \alpha = \frac{3}{ 5} {/eq} and {eq}\sec \beta = \frac{17 }{15}{/eq}, then find {eq}\sin (\alpha - \beta). {/eq}

Trigonometry Problem:

We have to find the value of {eq}\sin (\alpha - \beta) {/eq} where {eq}\alpha \ and \ \beta {/eq} are fourth quadrant angle.We will use the Pythagorean formula for sines and cosines to find the values. Then, substitute the values into difference formulas for sine to get the desired result.

Answer and Explanation: 1

Become a Study.com member to unlock this answer!

View this answer


Use the Pythagorean formula for sines and cosines. So, we have $$\begin{align*} \sin \alpha &= \frac{3}{5}\\ \cos \alpha &= \sqrt {1 - {{\left(...

See full answer below.


Learn more about this topic:

Loading...
Proving the Addition & Subtraction Formulas for Sine, Cosine & Tangent

from

Chapter 18 / Lesson 5
9.6K

Learn about trig addition identities. Discover different trig addition formulas such as the Cos addition formula. See addition and subtraction formulas.


Related to this Question

Explore our homework questions and answers library