Answered: When you solve the equation:…

Math

Trigonometry

When you solve the equation: sin(theta)cos(theta) − 7 sin(theta) = 0 , why is the answer theta=π k ?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter7: Analytic Trigonometry

Section7.4: Basic Trigonometric Equations

Problem 2E: The basic equation sinx=2 has_________no/one/infinitely many solutions, whereas the basic equation...

See similar textbooks

Related questions

Q: X 18 53°

A: We have to find solutions

Q: What is the component form of resultant of 26 - 3ā? 2b à = (2, -3) b = (-1,5) Enter your answer by…

Q: Rewrite the following as a sum of trigonometric functions with no powers greater than 1. cos^2(2x)=

A: Given :

Q: Find the 8th term of the geometric sequence: (1024a(b), 512a(3b), 256a(-96), 128a(276), ...} a8 s I

Q: -90° se s 90°. Find the value of 8 in degrees. sin (D)=0 sin (8) = 1 Write your answer in…

A: We need to evaluate the value of θ for the following: Part(1) sinθ = 1, -90°≤θ≤90° Part(2)…

Q: 2. Radius is 20; central angle is 30°

Q: Write the complex number in standard form. (Simplify your answer completely.) 5 cis 210°

Q: What is the component form of the vector whose tail is the point (-2, 6), and whose head is the…

A: Answer is in step 2.

Q: 1. Two Angles and a Side Solve APQR, where R= 68°, Q = 69°, and p = 21 cm %3D

Q: Give answers correct to one decimal place. 1. Find the value of a in the right-angled triangles: b)…

Q: B A b For the triangle with angle measures a, 3, and for angles A, B, and C respectively, the area…

Q: 5-logx-3-log y

Q: A pair of parametric equations is given. x=t², y=t-3, 3sts6 (a) Sketch the curve represented by the…

Q: Determine the direction angle (in degrees) for each vector: • Make sure you're using degrees instead…

Q: 3. If the tangent ratio of 0 is, which angle is 0? 3 cm P O 40 OLR O LP 5 cm None of these angles…

A: We have to find out angle

Q: In ARST, m/R = 90°. If s = 4 and t = 5, find the exact value of cos S. Select one: a. 5√41 41 b. O…

Q: QUESTION 5 Select a right triangle corresponding to the trigonometric function of the acute angle 8.…

Q: log12 18+3 log12 2

Q: A six foot man is standing 80 feet away from a building. He looks up at a 30° angle to see the top…

Q: 2. that the angle is giv &

Q: QUESTION 5 Select a right triangle corresponding to the trigonometric function of the acute angle 8.…

Q: ght: ra 2 2.12 [nverses of sir, cas, and tam rediens 0 s 8 s. Find the value of 8 in radians. cos…

A: We have to find the value of θ.

Q: Find all solutions to the equation below in the interval (-2π,0]. Give all answers as exact values…

A: The objective of the question is determine the solutions.

Q: QUESTION 19 Find the component form of v given its magnitude and the angle it makes with the…

Q: What does the graph of the parametric equations x (t) = 2-t and y(t) = (t + 3)², where t is on the…

A: Given parametric equation:x(t)=2-ty(t)=(t+3)2 where t is on the interval [-4, 0]

Q: 3. Find A-1. 1 A = 3 4 0 0 1 3 32 2 2 3

Q: Consider the following. u = i + 7j, v = 8i - j (a) Find u times v. (b) Find the angle…

Q: Evaluate the expression without using a calculator. sin 4 元 + Cos 4 -

A: We kow…

Q: Evaluate the expression under the given conditions. cos(20); sin(0) =Y 0 in Quadrant III Submit…

Q: Solve the triangle with the given information. a=7.1, c = 2.4, B = 12.1°

Q: Question 6 Rewrite sin (5x) without any powers. Show all calculat Edit Format Table 12pt v Paragraph…

Q: Match the given function to one of the graphs. y = -5 cos (2x) Choose the correct graph below. OA.…

Q: Using the Law of Sines to solve the all possible triangles if ZA = 114° a = 33, b = 14.

Q: Problem 10: Use a coterminal angle and the reference angle to find the exact value of cot (-23)…

Q: ) Divide x - 12x? + 38x - 17 by x - 7 Show wom to Solve Solve by Long

A: We can find the quotient and remainder using long division as below.

Q: Use an appropriate Half-Angle Formula to find the exact value of the expression. cos (2)

Q: C A If m/C = 90° while m/A=a and m/B = 3 in AABC, an expression representing the sum ( a+b sin a…

Q: tch the triangle with the given vertices. (Draw the triangle with a series of closed-point (5, 0),…

A: Given problem:- Sketch the triangle with the given vertices. (5, 0), (7, 5), (-2, 1) Use…

Q: What is the vector shown in component form? 4 3 4 5 Enter your answer by filling in the boxes. -9 T…

Q: Using the figure below, solve the right triangle. (Round lengths of sides to three significant…

Q: please help me find the magnitude of the following vector. U = 8i + 15j

Q: Find the magnitude and direction angle of the vector. (-3,1) BEE What is the magnitude of the vector…

Q: For the pair of vectors, find U + V, U – V, and 3U – 4V. U = (3, 1), V = (-6, 2) U + V = U - v = 3U…

Q: sinocos0 tan0 cos² cos? 0-sin0 1-tan 0 2 2

A: Solution is done in step 2

Q: ܐ

A: Consider

Q: Find the sum of the pair of complex numbers. Then graph both complex numbers and their resultant.…

A: To find the sum of complex number.

Q: 557 9. Given sin 0 = what is cos 0? 2√6 5√6 a. b. C. 7 √6 10. Given sin 0= what is tan 0? 2√6 5 a.…

A: 10)sin θ =57cos θ= 1-sin2θ =1-572 =1-2549 =247cosθ =267…

Q: For what numbers x, -2x≤x≤2, does the graph of y = tan x have vertical asymptotes? Select the…

A: Explanation of the answer is as follows

Q: Verify that the above formula is correct for each of the following cases: ((b) a = 8 cm, b = 9 cm…

A: Given, a=8 cm, b=9 cm, c=10 cm

Q: Solve the system of equations by converting to a matrix equation and using the inverse of the…

A: The given system of equations,3x+7y+4z=13x-y+3z=12x+7y+3z=1

Question

When you solve the equation: sin(theta)cos(theta) − 7 sin(theta) = 0 , why is the answer theta=π k ?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

In solving cosx+2sinxcosx=0, which of the following is the best first step? Write 2sinxcosx as sin2x. Factor cosx from the left side. Divide both sides by cosx. Subtract cosx from both sides.
Given 0≤θ<2π, , what are the extraneous solutions for the equation cotθ=cscθ+√3?
I need to find i assume multiple solutions to this question --how do I go about solving a question like this? 7 cos(?) + 1 = 0
Solve the equation. cos(x + pi/4) = 1/2
Solve the equation 2 cos2 − cos = 1 for θ, where 0 ≤ θ ≤ 2π.
Solve the equation on the interval [0,2π). (cotθ−1)(cscθ−1) = 0
Solve the equation sin x - sin 5x + cos 3x = 0, giving your answers between 00 and 1800.
For this trig problem, how would I know which Law would I use to solve this? Like using either Law of SIN or the law of COS?
Solve the equation cos2 x + 5 cos x + 3 = 0,correct to four decimal places, 0 ≤ x < 2π.
Solve the equation by factoring. 4 sin(theta) cos(theta) + 2 sin(theta) − 2 cos(theta) − 1 = 0
solve the following parts- a. csc x/sec x = (answer only in sin(x) & cos(x)) b. cos x + 1/sin x = (answer only in sin (x) &/or cos (x)) c. csc x tan x = (answer only in sin(x) & cos(x))
Use method of undetermined coefficients (MUC) in solving the equation. (D^2 + 4) y = 8 sin 2x, what is the correct form of its particular solution?