Given that sin(a) = 2/3 and cos b = -(1/4)  with both a and b in the interval [pi/2  , pi).  Find cos(a-b) in the interval [(pi/2), pi). State how you got the negatives or positives after you found cos a and sin b

Q: Find the EXACT expressions for the indicated quantities, given that: cOS 는 /2+v3 sin 를 COs and

A: Here, first we will find will find the values of sin(π/12) and then,to find the value of tan(π/12),…

Q: 4. If cos(x) = -, and x lies in the 3rd quadrant, find tan(). -2 2.

A: Given query is to find the value of indicated function.

Q: Find sin e and cos e if the terminal side of 0 lies along the line y = 3x in QI. sin e - cos 8

A: Given: The equation of the line is, y=3x. The objective is to find the value of sinθ and cosθ.

Q: find the extreme values on the interval g(θ) = sin2 θ − cos θ, [0, 2π]

A:

Q: In order for sin-1 (sin x)= x, x must be a value between ____ and ____.

A: In order for sin-1sinx=x, x must be a value between ___ and ___.

Q: (a) Prove that 1- cos 2.x NT = tan x, sin 2.x (b) Hence solve, for 0 < 0 < 2n, 1- cos 20 3sec? 0 – 7…

A: Solution(a): Prove that 1-cos2xsin2x=tanx LHS:1-cos2xsin2x=1-1-2sin2x2sinxcosx…

Q: Find without using tables, the values of cos x and sin x when cos 2x is 7/25

A: cos2x=725

Q: Given that cos(x) = 0.42, what is cos(-x)?

A:

Q: Express the given quantity in terms of sin x and cos x. Sin (2n – x)

A: The given quantity is  sin(2π-x)

Q: If sin x - cos x = 1/5, what is (sin x) (cos x) equivalent to?

A: Given sinx-cosx=15Squaring the equationsin2x+cos2x-2sinxcosx=125

Q: Express the given quantity in terms of −sin x or cos x. sin(3ℼ/2 - x)

A: The given trigonometric function is f(x)=sin3π2-x

Q: Find, if y=3cose+cos³0 do, and x = sin³0

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: For what values of x can we replace sin x by x - (x3/3!) and obtain an error whose magnitude is no…

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 8, x in Quadrant IV sin(2x)…

A:

Q: sin [ cos-1 (-글)

A: To find the exact value of given expression

Q: Find the value of x between 0° and 180° such that 2 sin(x+ 30°) = cos(x-45°). %3D

A: You know:

Q: Let cos(22∘)≈0.9272. What is the the value of xx, in degrees, for sin(x)≈0.9272 ?  what does X = ?

A:

Q: Express the given quantity in terms of sin x and cos x.

A: We can solve this by using the difference formula of sine function . The difference formula of sine…

Q: Given that sin“ x + cos²x = 1 V2 and sin x = 5 what is the possible value of cos x

A:

Q: Given cos(x) = 2 on the interval [0, 2π], what is the value of x?

A:

Q: Find cos 5, given that sin 1 and 0 <0< 90°. 4

A:

Q: Im Sin (n-y) Cos (+9)

A: We find limit of given function

Q: Express the given quantity in terms of sin (x) and cos (x). sin + X 2

A:

Q: If f(0) = 2 sin 0 - cos 20, find f Do not use a calculator and express each exact value as a single…

A: We have to find the exact value of trigonometric function at the given value.

Q: If Sin (3x + 5) = Cos(2x – 10) what is the value of x?

A: Topic-Trigonometry

Q: If sin A =V with 180 AS 270 find cos 2A and cos 65 Cos 2A = cos号 COS

A:

Q: Express cos { θ + π/2 ) and sin { θ + π/2 } ) in terms of cosθ and sinθ.

A: Given  cosθ+π2, sinθ+π2

Q: What is the value of sinh (In 2 +i)?

A:

Q: Solve for the convolution of sin (t) and cos (t).

A:

Q: 2. Plot sin (x) and cos (x) on the same figure, then on the same axis using different colors. Where…

A: The graph of sinx for 0&lt;x&lt;2π is:   The graph of cosx for 0&lt;x&lt;2π is:

Q: Given that E = sin*x- cos*x. Reducing E in terms of the first power of cosine gives:

A:

Q: one of sin x, cos x, and tan x is given. Find the othertwo if x lies in the specified interval.

A:

Q: 4. If (sin2x + cos2x)dx =, sin(2x – c) + a, find the values of a and c.

A: Introduction :

Q: determine the value of sin^2 x + cos^2 x for x =10 degrees

A: Given x= 10 degrees By trigonometric formula we know that , sin2(x)+cos2(x)=1 where x∈-∞,∞

Q: If Sin(3x+5) = Cos(2x – 10) what is the value of x?

A: This question is related to comparison of trigonometry function.

Q: Using differential, find the approximate value for sin(29°). (29° means 29 degrees)

A:

Q: If sin A = 65 with 180° < AS 270°, find cos 2A and cos 65 Cos 2A = COS 2

A: To find the value of the following,

Q: For −1<x<1-1<x<1, by sketching a triangle, find cos−1x+sin−1x=cos-1x+sin-1x=   degrees.

A: We sketch a right triangle with one side = x and hypotenuse= 1

Q: How close is the approximation sin x = x when|x |&lt;10^-3 ? For which of these values of x is x…

A: Given information:

Q: 5. If x = 3tan 0, find sin e in terms of x.

A:

Q: one of sin x, cos x, and tan x is given. Find the othertwo if x lies in the specified interval.

A: Given information: tanx=12    x∈π, 3π2

Q: How would you evaluate∫cos2 x sin3 x dx?

A: Given: ∫cos2xsin3xdx

Q: Given that the value of sin x – cos x = -1/3, find the numerical value of sin 2x.

A: We have to find

Q: Use an identity to solve the equation sin x + cos x = 1 on the interval [0, 2π).

A: To solve the equation sinx+cosx=1 on interval 0,2π. Solution: We have an identity: sina cosb+cosa…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 6, tan(x) < 0 sin(2x) %D…

A: Given that cosecx=6 , tanx&lt;0find out the value of sin2x, cos2x and tan2x

Q: The range of this Y= 2 cos (3x) Is?

A:

Q: In solving cos x + 2 sin x cos x = 0, which of the following is the best first step? Write 2 sin x…

A: To solve:cosx+2sinxcosx=0

Q: At what value(s) of x does cos(x) = 6x?

A: We have, cos x=6x To find the value of x, we shall find the root of a function  using…

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.