3. Solve the equations: a) 2 sin x cos x = sin x 0° sx< 360°

Q: Solve the fellowing D.E 4 Sin 27 X = CoS 27X

A: Using variable separable method.

Q: Solve for [o, 2 T. Sin(20) + cos 0 =0 CO

A: Given equation is By using the identity  we get

Q: a) cosx = - ja 0 <x< 360° b) sin (2x +) = 0, ja - << c) 2cos?x + sin +x) – 1 = 0, ja 0 <x<2=

A:

Q: Lindsay solved the equation sin x = 1 - cos x by squaring each side to obtain sin2 x = 1 - 2 cos x +…

A: Given equation, sinx=1-cosx

Q: Solve for angles x and y of the following: (cos*2x – sin*2x) + j(csc²y – 1) = 0

A: The given problem is to find the values of angles x and y for the given complex equation. Given…

Q: What is the solution of | Sin (5x) dx , ignoring the +c? O -1/5 Cos (5x) O 1/5 Cos (5x) O -5 Cos…

A: Here we have to solve integral question.

Q: Solve ax? cos xcos 2y дхду

A:

Q: Solve for the requested quantity. If x 5 and y 8, then sin A A. %3D

A: use trigonometric ratio for finding the value of sinA.

Q: . Solve the equation in the interval [0, 27) 2 cos? x+sin x =1

A: Given equation

Q: (z) = #, Which of these is a valid solution to the equation tan ( x V3

A: To find the solution of: tanx=33

Q: Find the general solution of the different ial equation 1 sin x y°y' + =y* %3D x4

A: According to the given information, it is required to find the general solution of the given…

Q: 2. Given 0 <0 < 2n, what are the extraneous solutions for the equation cos 0 cot 0 = 3 – 3 sin 0?

A: Put value in function if LHS is not equal to RHS then extraneous solution

Q: Solve for the exact solutions in the interval (0, 2x). If the equation has no solutions, respond…

A:

Q: cos? x + sin x +1 = 0

A:

Q: Obtain the general solution to the equation. 2. (sin? y + x cot y)y' = 4

A: solve the above differential equation.

Q: 8. Find all angles in degrees that satisfy each equation. a. cos 3x b. sin 2x = 0 C. sin a = 2

A: To find all angles in degrees that satisfy each equation. a). Equation is cos3x=1. We know that if…

Q: Given 0 <0 < 2n, solve 2 cos? 0 + 3 sin 0 = 3.

A:

Q: Find all solutions of the equation in the interval [0, 27). cos(x - ) 97 *) + sin? x = o 2 (smallest…

A: This question is related to trignometry we will use trignometric identities to solve this.

Q: Find all angles, 0° < 0 < 360°, that satisfy the equation below, to the nearest 1oth of a degree.…

A:

Q: sin(nz) + sin(2nz) + sin(3nz) = 0.

A: Given: sinnx+sin2nx+sin3nx=0 we know that sinC+sinD=2sinC+D2cosC-D2…

Q: solve for the angle u, where 0 … u … 2π sin 2θ - cos θ = 0

A: To calculate the angle u

Q: How many solutions are there in the interval 0 < x < 2 for the equation 4 cos 3x =9? %3D 2. 3.

A:

Q: Find all solutions to the equation 3 sin r – 4 = sin r – 2 in the interval [0, 27].

A: Given 3sinx-4=sin x-2

Q: 2. Given 0 ≤ 0 < 2п, solve tan 0 = 0. О 0, п О п О , О O

A: Given problem:- Given 0 ≤θ&lt;2π, solve tan(θ) =0

Q: 2. Find the solution of the following trigonometric equations: Sin x = sin 43°, 0°< x < 360° Sin (x…

A:

Q: Solve the following equations: (a) 2 sin 0 tan 0 – tan 0 = 1 – 2 sin 0 (b) = COS 2 sec

A:

Q: Use an addition or subraction formula to find the solutions of the equations that are in the…

A: sin7tcos4t=sin4tcos7t On simplification, we get sin7tcos4t-sin4tcos7t=0⇒sin7t-4t=0…

Q: Solve the equation on the interval [0, 27). 2 sin (r) = – sin (x) +1

A:

Q: c) cos (315 °) d) sin (-30°) e) cos (330°) f) tan (150°) g) sin (225°) h) cos (210°)

A:

Q: c) Using De Moivre's Theorem, show that sin(30) = 3 sin – 4 sin³ 0 Hence, obtain all possible…

A: We have to prove the given equation and find all possible solutions.

Q: tan 20 10. lima-0 A. 0 B. 2 C. 4 D. 0 %3D sin e

A: We will answer the first question specified by you. Please resubmit the question specifying the one…

Q: Solve the following equations: 2 sin 0 tan 0 – tan 0 = 1 – 2 sin 3π π Answer:{ } 2 '6 Wherein x €…

A:

Q: AllSweis 36. 2 sin? x -1 = 0

A:

Q: Solve the equation in the interval [0, 27). (a) cos 0 – sin 0 = /2 sin - 3π π Answer:{ 2 '6 }…

A: Topic = Trigonometry

Q: 3. Given 0 < 0< 2T, what are the extraneous solutions for the equation tan 0 sec 0 = 1?

A:

Q: The question is to, find a general solution and to show the steps of derivation.

A:

Q: Solve the equation for solutions in the interval [0°, 360°). 1 18) sin 20 %3D 2

A: Consider the given information. sin2θ=-12 As, in the trigonometric ratio, the value is defined as,…

Q: Find the solutions of the following equations on the interval [0,2r). sin 20 – V3 sin 0 = 0 tan 0 +…

A:

Q: cos(2theta)+6sin2 theta=4, what is the solution in interval 0 less than or eqaul to theta less than…

A: Topic:- trigonometry

Q: What value of x does NOT satisfy the equation sin' x + sin x = 0? O 3T 2 O T O 2T 卡|2

A:

Q: The equation cos x + V3 sin x = I is equivalent to * 2 sin (x + B 2 sin (x + 7. C 2 cos (x - D 2 cos…

A: Trigonometric equation

Q: 3. Which is the solution to the equation sin?x = 3cos²x, x = 3 3

A: Given the equation: sin2 x=3cos2 x We know that  sin2 θ+cos2 θ=1 So, sin2 x=31-sin2 xsin2 x=3-3sin2…

Q: Show that the three equations sin 0 = sin a, cos 0 = cos a and tan 0 %3D tan a are all identical and…

A: Given: sin2θ=sin2αcos2θ=cos2αtan2θ=tan2α Show that solution of all the above equation is the same…

Q: solve for the angle u, where 0 … u … 2π sin2 θ = cos2θ

A: To solve the equation: sin2θ=cos2θ where 0≤θ≤2π. Solution: Solving the given equation.…

Q: Tt/2 2 sin(2x) dx 4– cos(2x)

A: The solution is:

Q: Find all solutions on the interval [0, 27): cos 0 = sin? 0

A:

Q: 4 cos? (0) – 1 = 0

A: given,

Q: Solve the following trig equations:  2 sec2 x + tan2 x − 3 = 0  sec x + tan x = 1  2 cos2 x2 −√2…

A: Consider the equation: 2sec2x+tan2x-3=0-1-3+sec2x+2sec2x=0-4+3sec2x=0secx=233, secx=-233x=π6+2πn,…

Q: Find the solutions of the following equations on the interval [0,2n). 1) sin 20 – V3 sin 0 = 0 - 2)…

A:

Q: 3 and t <Os, then sece is equal to: 5 37t - 1. If sin 0 - 5 a) 4 4 b) 5 4 c) -

A: Given:  sin θ = -3/5     π ≤ θ ≤ 3π/2

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.