Verify the identity algebraically. Use the table feature of a graphing utility to check your result numerically. (Simplify at each step.) 1+ sin(8) + cos(8) cos(8) = 2 sec(0) 1+ sin(0)

Q: cos 0 1- 1+sin0

A: To simplify.

Q: Solve the equation for x if0 < x < 2n. Give your answer in radians using exact values only. (Enter…

A: To solve the below equation for x

Q: Express cos- (a) in terms of cos(2a). Express sin (a) in terms of cos(2a).

A: This question is of double angled identity.

Q: Express cos2(a) in terms of cos(2a). Express sin2(a) in terms of cos(2a). cos? (a) Choose... sin (a)…

A:

Q: Solve for θ if 0 ≤ θ < 2π. 18. Show all steps, including a unit circle sketch. sinθ/2+ cos θ = 1

A: The unit circle Given that 0≤θ≤2π in an unit circle. The objective is to find the value of θ where…

Q: True or False sin² 0 = 1 – cos² 0.

A: Use the trigonometric identity sin2θ+cos2θ=1 to verify the statement.

Q: Even/Odd 7. sin?(-x) + cos²x = 1

A: Follow the procedure given below.

Q: 3. In Example 1(a) we showed that f sin x cos* x dx = - cosx + cosx + C. Check that this answer is 1…

A:

Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos² (a) COS sin (a)

A: (a) We have to express cos2α in terms of cos2α.

Q: Express cos (a) in terms of cos(2a). Express sin-(a) in terms of cos(2a).

A:

Q: 3. Evaluate and solve for x. (No decimal values allowed) tan 30° sec60°sin90° esc-45 sec600 X(sin…

A: Put tan30°=1/√3, sin30°=1/2, sin90°=1 Cosec45°=√2, cos45°=1/√2 Then solve for x

Q: 2 cos I Use a counter-example to show that cos 2x

A:

Q: Use the power reducing formulas to rewrite sin 5x cos 5x in terms of the first power of cosine.…

A: Consider  sin25xcos25x

Q: Verify the identity. You must use the format used in lecture, i.e. show that LHS = ... = RHS or RHS…

A: We can verify it as below

Q: Evaluate and show your work. sin(Cos-1(0.6))

A: Evaluate the value

Q: 12. Evaluate Cos 0 -sin & - Bin sin 0 Co3 0

A: Given: cosθ−sinθsinθcosθ4

Q: How can i prove this identity? sin 4A=4 sin A cos^3A-4 sin^3A cos A

A: We have to prove that  We will simplify right hand side of the equation.

Q: sin (x) = -0.9. If x and y are complementary, what is cos (y)? %3D Sub

A:

Q: Use cos(o- B) to derive a formula for sin(a- B). (Hint: co-function) use w

A: Given :  To derive the formula for sinα-β using cosα-β.

Q: Solve cos(x) %3D There are two so

A: The trigonometric function is given as, cosx=-0.48. on 0≤x≤2π. The solution for the trigonometric…

Q: identity to solve the following equation on the interval [0,2m) Use an sin 2x -3 cos x C.

A: The equation is given by

Q: 11. sin-(-0.99) 12. cos(-0.1)

A:

Q: Use an identity to solve the equation cos 2x = cos x on the interval [0, 2π).

A: Given:cos2x=cosx on the interval [0,2π)Formula:cos2x=cos2x-sin2xsin2x=1-cos2x

Q: How do you solve this and can you show me step by step?

A: cos(pi/2 -t)= sin(t) by co-function identity. tan(-t)=-tan(t) by even odd identity.

Q: Complete the proof of the identity by choosing the Rule that justifies each step. sin x-…

A: We have to write the rules that are used to prove the identity.

Q: Find the exact vaue of cos [sin^-1(-2/5)]. Your answer should be a number with no trig functions.…

A:

Q: cos + tan-'x = ! ele %3D

A: Given  The equation is cos-1x2+tan-1x=π2

Q: 1 Evaluate lim(cos0)1-cose

A: It is given that, limθ→0cosθ11-cosθ. Let y=cosθ11-cosθ.   Take log both sides the above equation.…

Q: Suppose -π/2 <θ < 0 and tan θ= -2 Evaluate (exactly) (a) cosθ (b) sinθ

A:

Q: )-tan (-V3) 4. Find the exact value of expression sin cos -1 /2 2

A:

Q: Show sin 3A = 3 sin A cos²A - sin A.

A: Explanation: Given that: sin3A=3sinAcos2A-sinA Concept: sin3A=3sinA-4sin3A sin2A+cos2A=1

Q: 1 If tan a= and 0 < a < 2 2' find cos . Cos x = (Simplify your answer, including any radicals. Use…

A:

Q: sin(cos(0.3866)) O -1.0778 O 2.9222

A: We have to solve the problem

Q: 40. sin (27 - x) 37T 42. cos COS

A:

Q: Example 4: Suppose that sin a = 0.32. What is the value of cos(90-a)? Explain.

A:

Q: . is cos(cos^-1 1.7=1.7 true?     2. is sin^-1 (sin80*)=80* true?

A: We know the basic relations      cos(cos-1x)=x Because cos and cos-1 are opposite functions,…

Q: sin 8 cos (cos a cosec 0) do 1/2-a (1-cos a).

A:

Q: Verify the identity. 1 sin² y M 1 1-sin² y tan² y + 1 Use a Pythagorean Identity in the denominator,…

A:

Q: 1 and 2 Suppose that sina=- <a<2t. V5 a and tan 2 Find the exact values of sin

A:

Q: Voltage A coil of wire rotating in a magnetic field induces a voltage TTt E = 20 sin 4 TT |3D - -…

A: E=20sinπt4-π2

Q: Verify the identity: cos4 t - sin4 t = 1 - 2 sin2 t

A: We have the identity cos4t-sin4t=1-2sin2t   Consider LHS LHS=cos4t-sin4t Rewrite as…

Q: Evaluate and show your work a. sin (π - x) + cos (3π/2 - x) b. sec3π/4csc5π/4 + tan4π/3cot11π/6…

A: To Evaluate: a. sin (π - x) + cos (3π/2 - x) b. sec3π/4csc5π/4 + tan4π/3cot11π/6 c. Tan-1(-√3)

Q: If sin A= 1 find cos 2A.

A:

Q: CoS X Which of these is an efficient first step in proving the identity 1+ sin x 1- sin x :? cos X

A: To prove cos x1+sin x=1-sin xcos x

Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos²(a) Choose... sin?(æ)…

A: Let's find.

Q: Find sinθ when cosθ=0.618 and tanθ<0.

A:

Q: 3. Simplify a. cos 20 sin 90- cos 90 sin 20 cos A b. csc A (1- 1+sin A.

A:

Q: 7Tt Find the exact value of sin 4 7t sin 4 %3D

A: The objective is to find the exact value.

Q: 21. Find the exact value of cos(2 tan-). 22. Rewrite the expression as an algebraic function of x…

A: 21. We have to find the exact value of cos2tan-1940 here tan-1940=0.22131444234…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.