2. Use the addition or subtraction formulas to find the exact value (a) cos 10 cos 80 – sin 10 sin 80 197 (b) sin 12 (c) cos(165) (d) sin(75) (e) tan(105)

Q: Suppose that x = cos 0 . Find an expression for sin 0 in terms of a 9 4 z2 6,

A:

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: 5. Given that 2 sin 20 = cos 20, a) show that tan 20 = 0.5. b) hence find the values of 0, to one…

A: given that 2sin2θ=cos2θ to prove that tan2θ=0.5 proceed as follows  2sin2θcos2θ=1tan2θ=12tan2θ=0.5

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. 12 cos(x) = 13 csc(x) < 0 sin(2x) =…

A:

Q: Explain the difference in the appearance of the answers obtained in sin³ x cos³ x dx = 4 sin* x sin…

A: Given that: ∫sin3xcos3xdx=sin4x4-sin6x6+c=-cos4x4+cos6x6+C

Q: Find sin 2x, cos 2x, and tan 2x if sin x - and x terminates in quadrant II- sin 2x %3D cos 2x %3D…

A: Use the fact that in second quadrant cos and tan are negative.

Q: Given that the sin x = 2/5 and cos x = -1/4 with sin x in Q1 and cos x in Q3, find sin( sin x - cos…

A:

Q: 4) Find the exact value of sin 420 cos 12°- cos 420 sin 12°

A:

Q: Let f(x) = 8 cos x + 5 tan æ f'(x) =-8 sin(z) + cos(z)2 r(#) = 37 Find the exact trig values for…

A: Since, we have been given that f(x)=8 cos (x)+5 tan (x)Also, we have f'(x)=-8 sin (x)+5cos (x)2Our…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = - cos(x) > 0 sin(2x) =…

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information sec(x) = 4, x in Quadrant IV %3D…

A: Given: secx=4, x in Quadrant IV   We know that; The trigonometric identities; 1). sin2x+cos2x=1 2).…

Q: Find sin 2x, cos 2x, and tan2x if tanx = and x terminates in guadrant II. sin 2x ? cos 2.x tan 2x…

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given informa 15 tan(x) x in Quadrant II 8 240 sin(2x) =…

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = - 4 - cos(x) > 0 sin(2x) =…

A: Answer

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sec(x) = 6, x in Quadrant IV %3D…

A: Given, sec(x) = 6,    x in 4th quadrant

Q: 4. Find the exact value of cos *x- sin "x-cos (2x). 4 cos x- sinx- cos (2x) = (Simplify your…

A:

Q: Can you please help me with my verify the identity problem? 1 + sec^2x / 1+ tan^2x = 1 + cos^2 x

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = - cos(x) > 0 sin(2x) cos(2x)…

A: Given,           tan(x) =-16, cos(x) &gt; 0

Q: 15 Find sin 2x, cos 2x, and tan 2x if tan x= and x terminates in quadrant III. 8 sin 2x = S ? cos 2x…

A:

Q: sin [ cos-1 (-글)

A: To find the exact value of given expression

Q: 3 Find sin 2x, cos 2x, and tan 2.x if cos.x = and x terminates in quadrant II. V10 sin 2x %3D

A: given

Q: 2. Write –2 cos x – 3 sin x in the form R cos(x – a) with -7 < a < T. Round to three decimal places.

A: Answer is given in asked form.

Q: Rewrite cos x+ in terms of sin(x) and cos(z). 4

A:

Q: 3. If cos x = 5 Find the sin x and tan x in the interval 13 xe 1]? X€ ,π

A: Given that: cosx=-513and x∈π2, π

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = // 1₁ x in Quadrant I…

A:

Q: Find sin 2x, cos 2x, and tan 2x from the given information. 4 COS X = 5' * csc x < 0 sin 2x = cos 2x…

A: We answer the questions as below.

Q: 15 Find sin 2x, cos 2x, and tan 2x if sin x= and x terminates in quadrant I. 17 sin 2x cos 2x = tan…

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information 15 cos(x) csc(x) 0 17 sin(2x) =…

A: Given

Q: Find the exact value of the expression. TC COS 16 3T - sin 16 TO - sin 16 COS | 16

A: To find:- Exact value of cosπ16cos3π16-cosπ16cos3π16

Q: 2. Suppose tan x = 3 -- with < x < 2n. Find the exact value of cos ). Show you work carefully. ensem…

A: Given problem:- tan(x) =-4/3 with 3π/2 &lt;x&lt; π To find:- Exact value of cosx2)

Q: 15 Find sin 2x, cos 2x, and tan 2x if cos.xr= and x terminates in quadrant IV. 17 sin 2x cos 2x !!…

A:

Q: 4. Establish the identity using the sum and difference formulas: sin (m – 0) = sin 0

A:

Q: 3. What is (Sin (6x)}? 4. What is (Cos (x²) dv 5. What is (tan x³) dx 6. What is (In x)7

A: we use the chain rule to find the derivative of the given function

Q: 12 Find sin 2x, cos 2x, and tan 2x if sin x=- and x terminates in quadrant IV. 13 sin 2x %3D cos 2x…

A:

Q: Find sin 2x, cos 2x, and tan 2x from the given information. 4 cSc x < 0 5' cos x = sin 2x = cos 2x =…

A: Given  problem:-

Q: 2. If sin x cos x + sin 2x =1 what are the values of x

A:

Q: 12. sin 2t – tan t = tant cos 2t - HINT: You will use a reciprocal identity.

A: use the formula

Q: Find sin 2x, cos 2x, and tan 2x if cos x= and x terminates in quadrant I. 13 sin 2x %3D cos 2x %3D…

A:

Q: 2 tan(2x) − 4 cos(x) = 0

A: Explanation of the solution is given below.... And solve the given equation.....

Q: 3 3m 2. sin ---- sin(20) = b. cos(20) = a.

A:

Q: 18. The value of sin (7 +2) is equal to sin a cos z cos z - sin r

A: 18)

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

A:

Q: Show that the following is true. sin(x-플) We begin on the left side of the equation by using a…

A: We have to show

Q: Find the exact simplified value.

A:

Q: Show that : |sin x |= CoS nX Σ n2 even 414 2/7

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) = - cos(x) > 0 3 sin(2x) =D…

A:

Q: 37 in terms of sin(x) and cos(x). Rewrite cos 4

A:

Q: 33. Use addition formulas and the values of sin 0 and cos 0 for 0 = to compute sin 12 and cos…

A: Given: sin7π12, cos7π12 We know that sinA+B=sinAcosB+cosAsinB…

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.