Evaluate each of the ff. 1. cos ( 5 - 2j ) 2. cot ( -3 + 4j ) 3. csc ( -7 - 6j )

Q: Determine whether the positive or negative sign results in a true statement.

A:

Q: 9 = cos(20)

A: We have to find the solution of the given equation

Q: 1 cos 40 2

A: cos4θ=-12, 0≤ θ<2π4θ=2π3+2πn, 4θ=4π3+2πnθ=π6+πn2, θ=π3+πn2Solutions for the range 0≤ θ<2πθ=π6,…

Q: Suppose θ is an angle such that cos θ =3/4 Evaluate cos(2θ).

A:

Q: 2. Simplify 3 cos 12 2 cos +jsin- 12 + jsin Express answer in rectangular form. 4

A:

Q: evaluate the expression  sin(2 cos^-1 squareroot 5/5) cos(2 tan^-1 2/3)

A: We will use the relationship between inverse trigonometric identities to simplify the given…

Q: True or false: cos(2pie/3 + pie/6) = cos2pie/3 + cospie/6

A:

Q: what is the degrees of cos θ/2 = 1

A:

Q: If θ= −11π/6, then sin(θ)=cos(θ)=

A:

Q: 4. If 90° < 0 < 180° and cos O , find cos 20. 25 7 25 ㅇ 16 25 16 25

A: Given: 90°&lt;θ&lt;180° cosθ=-35 To find: cos2θ We know that, cos2θ=2cos2θ-1             Also, we…

Q: If cos(theta) = -5/6 and theta is in the 3rd quadrant, find sin(theta) Sin(theta)=

A:

Q: 5. cos() 7. 6. cos(3) 8. cos(2)

A:

Q: 2. COS 12, 2/2

A: We hev to use properties of trigonometric functions.

Q: 3 4. If 90° < 0 < 180° and cos 0 , find cos 20. - 7 25 16 25 25 16 25

A:

Q: Find the quotient. Cos(pi)+isin(pi)/cos(5pi/6)+isin(5pi/6)

A:

Q: Circle any expression below equivalent to sec (2.5) - 1 cos cos(2.5) 1 cos 2.5 cos(2.5) 2.5 None of…

A: sec-12.5

Q: Use a product-to-sum formula to rewrite cos 6w cos 5w as a sum or difference. cos 6w cos 5w Osin

A: Given,          cos6wcos5w

Q: Evaluate the following cos-1(cos(-45°))

A: here we will use two properties of trigonometry (i)     cos(-x)= cosx (ii)    inverse cosine (cos…

Q: If sec⁡ x=3/2, and 270°<x<360°, what is cos (x/2)?

A:

Q: 5 If csc² A = ;, what is the value of 1- cos? A? 2 5 5 2 2 Option 1 O Option 2 2 2 D Option 3 O…

A:

Q: Without a calculator, evaluate the following exactly. a) cos-1(1/2) b) cos-1(-1/2) c)…

A: (a). Given,

Q: 5. If 90° <0 < 180° and sin0 , find cos 20.

A:

Q: Find all six trig rations given the following information:  cos =-(3/4), tan < 0

A: Explained below

Q: (3) Find cot(cos-(1/3)) OS

A:

Q: 1. If 270° < 0 < 360° and cos 0 = 11 15 ! , find cos 20. 104 225 104 225 17 225

A: Using advance trigonometric identities we will solve for cos 2θ

Q: Express as a sum or difference.cos 6u cos (-4u)

A: Given : cos6u cos(-4u)

Q: Determine the value of each angle θ if 0<= θ <= 2pie tanθ = -1  cosθ = -0.73135 cosθ = -1/2  If…

A:

Q: Find sinθ and tan⁡θ if cosθ=11/61 assuming that 0≤θ<π/2 sinθ= tanθ=

A: Given,          cosθ=1161 ; 0≤θ&lt;π2

Q: evaluate without using a calculator: cos2(-9pi/4)

A:

Q: Find θ, 0° ≤ θ < 360°, given the following information. cos θ = − √3 / 2 and θ in QII

A:

Q: 2 sin- If p = cos -1 q, show that 4p? – 4pt + q? = 1.

A:

Q: If sec(α)=25.2/19.4, then what is the value of cos(α)? (options in image)

A:

Q: Select Cor for the blank so that the resulting statement is true. (5,1,2) ) (1,25) Choose the…

A:

Q: If cos (A) = 1/2 with A in QIV, find cos (A/2). cos (A/2) =

A: cos(A)=1/2 A=cos-1(1/2) A=60o A is in iv quadrant so A is negative So, A=-60°

Q: If cos θ = 3/4, what is cos2θ?

A:

Q: B. Evaluate the following: 1) csc 45° 3) cot 5) cot- 2 2) sec 60° 4) sec2 30° – tan? 30°

A:

Q: Evaluate cos a+), 2 if sin a = 3 3 and a is in quadrant lI. Select one: 2/3+/5 1+/5 6 2/3-/5 2/3+/5

A: I am going to solve the given problem by using some simple Algebra of trigonometric ratios.

Q: 97. If sec a = 10/3, then what is cos a? %3D

A:

Q: Prove the given cos 78° cos 42° cos 36° 8. II

A:

Q: Which of the following expressions correctly determines the value of cos ZC? 8. A 10 8 + (BA) – 10…

A:

Q: 20. Suppose 0 is an angle such that cos 0 = . Evaluate cos(20).

A:

Q: if 0°<θ<90° and sin⁡θ=3/5, find cos⁡2θ. 9/25 14/25 7/25 18/25

A: Given that  0&lt;θ&lt;90o and sinθ=35

Q: 1. In what quadrants is the sign of tan 6 negative? aQI,QII b.QII,QIII c.QI.QII d.QII.QIV 2. In what…

A:

Q: Let cos 6 and O is in QI. What is the value of cos(20)? 3 1 9. 9. 4 - 4/9

A: Given; Cos(theta)=2/3.

Q: 4. Which of the following expressions gives the measure of B? A. cos-1 (152+252-112 2(15)(25) B.…

A:

Q: If cos θ = 1/4, find cos^2 =

A: Given : cosθ=14…

Q: 5. If 270° <0 < 360° and cos 0 = , find cos 20. 225 225 104 225

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you.  If…

Q: Suppose that θis an angle in standard position whose terminal side intersects the unit circle at…

A: Recall the following. Let x, y be the point where the terminal side intersects the circle of radius…

Q: Find cos C if a = 8, b = 7, and c = 15.

A: If the sum of squares of two sides is equal to the square of the third side, then these types of…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.