Q1-Solve the equation by determination method: 2 1 .. (1) cos x sin Ø 5 3 =4 cos x sin Ø ..*(2) 7 6= sin ø B .. (3)

Q: Using Euler's formula, find | sin(nx) sin(mx) dx where m and n are integer numbers.

A: Here we use Euler's formula to reduce the given Integral part into the separate trigonometric…

Q: Solve the equation sin u = -1, for 0 … u 6 2p.

A: Given, the equation sin u = -1, we have to solve this equation in [0, 2pi).

Q: 12. Evaluate: 212-3V+1 (a) (d) / sec (2) / (b) / sec (20) de dr 1 (e) rVI-1 dr dr 16+9r2 (c) sin t…

A: The given integrals are; (a) ∫2x2-3x+1x2dx (b) ∫01x16+9x2dx (c) ∫0π/6sintcos2tdt

Q: L3) Solve for the zeros of the function: y=6 sin(금(z + ) + 3 %3D

A: Given,  y= 6sin23x+π4+3  We have to find the zeros of function.

Q: 8. Determine the exact values of: л (a) cos- 6 (b) sin 225º = cc(77)- (c) sec

A:

Q: 3. The equation that best represents the graph shown below is 4 -2 A. y = 4 sin(2x)+2 В. y =-4…

A:

Q: y. x -. cos(- + cos(- 2 4 х — у, 2 sin(- 4 = cos x - sin y 2

A: Here, the objective is to prove the following: 2sinπ4+x-y2cosπ4+x-y2=cosx-siny

Q: 5. [15 pts] Given cos a = -, a in Quadrant III, and sin ß= 1, 3 in Quadrant II. a) Find sin(a+ß). b)…

A: D

Q: Solve 6 cosx + 2 = 0 to three decimal places on the interval x = [0, 2π]. E A. x=0.340, x = 5.943 C.…

A: Here we have trigonometric expression. Need to find the value of x  in the interval of [0,2π].

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.