(1 point) Let \(\alpha\) be an angle, with \(0 \le \alpha < 2\pi\). Given \(\cos(2\alpha) = \frac{-47}{81}\) and \(\pi < 2\alpha < \frac{3\pi}{2}\), find exact values of the six trigonometric functions. Note: You are not allowed to use decimals in your answer. \(\sin(\alpha) = \) \(\cos(\alpha) = \) \(\tan(\alpha) = \) \(\csc(\alpha) = \) \(\sec(\alpha) = \) \(\cot(\alpha) = \)
Added by Douglas F.
Close
Step 1
Step 1: Given that cos^2(a) = 3/4, we can find sin^2(a) using the Pythagorean identity sin^2(a) + cos^2(a) = 1. Show more…
Show all steps
Your feedback will help us improve your experience
Khushbu Rani and 62 other Algebra and Trigonometry educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
For 0 < θ < π/2, find the values of the trigonometric functions based on the given one (give your answers with THREE DECIMAL PLACES or as expressions, e.g. you can enter 3/5). If cos(θ) = 1/3, then sin(θ) = sec(θ) = csc(θ) = tan(θ) = cot(θ) =
Khushbu R.
1. Find the values of the six trigonometric functions for the angle θ. Assume a = 7, b = 24, c = 25. sin θ = cos θ = tan θ = csc θ = sec θ = cot θ = 2. Find the values of the six trigonometric functions for the angle θ. Assume a = 1, c = 5. sin θ = cos θ = tan θ = csc θ = sec θ = cot θ = 3. Find the values of the six trigonometric functions for the angle θ. sin θ = cos θ = tan θ = csc θ = sec θ = cot θ =
James K.
Darshan M.
Recommended Textbooks
Introductory and Intermediate Algebra for College Students 4th
Prealgebra
Prealgebra and Introductory Algebra
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD