Question
Question asked by Filo student
Find the five remaining trigonometric function values for each angle See Example \sin \theta=.164215,\theta\Pi$
Found 6 tutors discussing this question
Discuss this question LIVE
9 mins ago
Text solutionVerified
Step by Step Solution:
Step 1. Since sin(θ) = 0.164215 is given and θ is in quadrant II, we need to find cos(θ), tan(θ), sec(θ), csc(θ), cot(θ) values.
Step 2. We can start by using Pythagorean Theorem to find the missing side of the right triangle with sin(θ) = 0.164215. sin(θ) = opposite / hypotenuse, so let opposite = 0.164215 and hypotenuse = 1 (since we are dealing with a unit circle in quadrant II)
Step 3. Using Pythagorean Theorem, adjacent = sqrt(1^2 - 0.164215^2) = 0.986.
Step 4. Now we can find all the remaining trigonometric function values: cos(θ) = -0.986, tan(θ) = -0.166919, sec(θ) = -1.01312, csc(θ) = 6.09576, cot(θ) = -5.98850.
stepN Thus, the five remaining trigonometric function values for the given angle θ = arctan(-0.164215/-0.986) = 9.809°, are: cos(θ) = -0.986, tan(θ) = -0.166919, sec(θ) = -1.01312, csc(θ) = 6.09576, cot(θ) = -5.98850.Final Answer:
θ = 9.809°, cos(θ) = -0.986, tan(θ) = -0.166919, sec(θ) = -1.01312, csc(θ) = 6.09576, cot(θ) = -5.98850.
One destination to cover all your homework and assignment needs
Learn Practice Revision Succeed
Instant 1:1 help, 24x7
60, 000+ Expert tutors
Textbook solutions
Big idea maths, McGraw-Hill Education etc
Essay review
Get expert feedback on your essay
Schedule classes
High dosage tutoring from Dedicated 3 experts
Students who ask this question also asked
Question 1
Views: 5,697
Question 2
Views: 5,930
Stuck on the question or explanation?
Connect with our Pre Calculus tutors online and get step by step solution of this question.
231 students are taking LIVE classes
Question Text | Find the five remaining trigonometric function values for each angle See Example \sin \theta=.164215,\theta\Pi$ |
Topic | All Topics |
Subject | Pre Calculus |
Class | Class 12 |
Answer Type | Text solution:1 |