Answered

IDNLearn.com offers a collaborative platform for sharing and gaining knowledge. Ask your questions and get detailed, reliable answers from our community of experienced experts.

Which pair of angles has congruent values for the [tex]\sin x^{\circ}[/tex] and the [tex]\cos y^{\circ}[/tex]?

A. [tex]70^{\circ} ; 160^{\circ}[/tex]
B. [tex]70^{\circ} ; 70^{\circ}[/tex]
C. [tex]70^{\circ} ; 120^{\circ}[/tex]
D. [tex]70^{\circ} ; 20^{\circ}[/tex]

Sagot :

GinnyAnsweridn
To determine which pair of angles has congruent values for [tex]\(\sin x^{\circ}\)[/tex] and [tex]\(\cos y^{\circ}\)[/tex], let's evaluate each pair individually.

1. Pair: [tex]\(70^{\circ}\)[/tex] and [tex]\(160^{\circ}\)[/tex]
- [tex]\(\sin(70^{\circ}) \approx 0.9397\)[/tex]
- [tex]\(\cos(160^{\circ}) \approx -0.9397\)[/tex]

2. Pair: [tex]\(70^{\circ}\)[/tex] and [tex]\(70^{\circ}\)[/tex]
- [tex]\(\sin(70^{\circ}) \approx 0.9397\)[/tex]
- [tex]\(\cos(70^{\circ}) \approx 0.3420\)[/tex]

3. Pair: [tex]\(70^{\circ}\)[/tex] and [tex]\(120^{\circ}\)[/tex]
- [tex]\(\sin(70^{\circ}) \approx 0.9397\)[/tex]
- [tex]\(\cos(120^{\circ}) \approx -0.5000\)[/tex]

4. Pair: [tex]\(70^{\circ}\)[/tex] and [tex]\(20^{\circ}\)[/tex]
- [tex]\(\sin(70^{\circ}) \approx 0.9397\)[/tex]
- [tex]\(\cos(20^{\circ}) \approx 0.9397\)[/tex]

Therefore, the pair of angles that have congruent values for [tex]\(\sin x^{\circ}\)[/tex] and [tex]\(\cos y^{\circ}\)[/tex] is the pair [tex]\(70^{\circ}\)[/tex] and [tex]\(20^{\circ}\)[/tex].
Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.