Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

If sin θ = 1 over 4 and tan θ > 0, what is the value of cos θ? (1 point)

Group of answer choices

negative square root of 15 over 4

square root of 15 over 4

square root of 15

negative square root of 15

Sagot :

xero099

Answer:

There are two options: b) [tex]\frac{\sqrt{15}}{4}[/tex], c) [tex]\sqrt{15}[/tex].

Step-by-step explanation:

By Trigonometry, we know that function tangent is equal to the following identity in terms of functions sine and cosine:

[tex]\tan \theta = \frac{\sin \theta}{\cos \theta}[/tex] (1)

If we know that [tex]\tan \theta > 0[/tex] and [tex]\sin \theta = \frac{1}{4}[/tex], then [tex]\cos \theta > 0[/tex]. Hence, we have two possibilities: b) [tex]\frac{\sqrt{15}}{4}[/tex], c) [tex]\sqrt{15}[/tex].

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.