3. If cos x =- Find the sin x and tan x in the interval 13 XE

Q: 9. Solve the following trigonometric equation. а. 2 cos x — 1%3D0 с. 2 cos x tan x = 2 cos x b. (1+…

A:

Q: 20 What is the frequency of the periodic function f(0) =2 tan()? O 2 5 sin(-), What is the frequency…

A: Given f(θ) = 2 tan(2θ/3) Frequency of tan θ is 1 For f(θ) period is  π/(2/3) = 3π/2 Frequency is…

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: 10. Find the exact value of cos 2x given that cos x =

A:

Q: 7. Find the exact values of: a) sin ¹(1) b) tan-¹(0) 5-¹ (13) 2 COS

A:

Q: if x is in III, and cos x= - 8/17. Determine the exact value of sin 2x and cos 2x

A:

Q: B) 1- Given that a = sin Find cos x, tan x, cot x, secx and csc x ?

A:

Q: 3. Suppose that sin r =, x lies in quadrant I, and sin y = 3 and y lies in quadrant II, find sin(x +…

A: Given: sinx=45, x lies in quadrant I. And siny=1213,y lies in quadrant II. We know that, In quadrant…

Q: uppose that sin x= -1/2 and pi < x < 3pi/2 and that tan y= 5 and 0 < y < pi/2. find the following…

A:

Q: 3 5 3n If cos x = - 5 , where sin (x - y). , and cot y = 12 , where 2 determine the exact value of

A:

Q: If sin x= 1/3 and sec y = 17/15, evaluate cos (x+y)

A:

Q: 11m If 0 = 6. then sin(0) • %3D cos(0) =

A: Answer

Q: 13. Find the value of tan 0/2, if sin e=-4/5 and 0 in QIII. 1/2 2+V3 -2

A:

Q: If cos e = V2 and n <0< 2T, what are the values of sin O and tan 0? 2 O sin e = tan O = -1 O sin e =…

A:

Q: . Find, without using tables, the values of Cos x and Sin x, when Cos 2x is : 1/8

A:

Q: 2. To create an identity for the equation cos x( 1+cotx) = A, where A would need to be A. cos'x B.…

A:

Q: If f(x) = -2[cos (2x)] +5[sin(3x)] is a neither function. Determine value for a and B. a=3 and B=2…

A:

Q: If sin x and T <x < , find tan x exactly. !! 1/4

A: We can use trigonometric identities to find the exact value of trigonometric function. We can use…

Q: which of the following is equal to į sin x cos (x) dx ? A cos () + C 3. cos (2x) + C O Option 1…

A:

Q: If csc(x) = 9, for 90° < x < 180°, then sin (5) = 0.9985 2 (금) CoS 0.0556 tan(5) ||

A: Use pythagorous theorem and half angle formula

Q: It is known that sin 36°=sin x and xe[0°,360°] . Write down all the possible value(s) of x

A:

Q: 1. Which of the following is the value of n so that a. 0 b. 1 tan tan"x cos³x dx = c. 2 d. 3 1 sin³x…

A:

Q: 19. Solve for x:x = (tan e + cote)² sin?e - tan?

A: Given that: x=(tanθ+cotθ)2sin2θ-tan2θ

Q: If sin A=1/√10 with A in QII find cos 2A.

A:

Q: 13. If cos 0 has a negative value and tan 0 has a positive value, find a and b such 0< a < 0 <b < 2n

A: Cos X is positive in 1st and 4th quadrant. Tan X is positive in 1st and 3rd quadrant.

Q: 34. If cos e Find tan O. 2. N/3

A:

Q: 1 Show that sin e 8 cos (20) + 2 cos (40).

A: We need to show that, sin4θ=38-12cos2θ+18cos4θ

Q: The simplified form of cos²(x) sin(x) + sin(1) is: Select one: a. sin(x) b. None of these c. cos(x)…

A:

Q: Given that cos x = 4/5 and x lies in QIV, determine the exact value of sin x/2

A: Use the formula cos 2θ=1-2sin2θ and substitute x2 for θ and then 45 for cos x.

Q: 5л What is the exact value of sin(cos(n)) where n %D

A: The given trigonometric function sin-1cosn where n = 5π2 cosn=cos5π2=0     since cosπ2=0

Q: 8. Apply the formula for cos (A-B) to the identity sin 0= cos E -0) to obtain the addition formula…

A: We have the Identity: sin θ=cosπ2-θ Now, we have sin(A+B)=cos π2-(A+B) (Using above identity)…

Q: Select the correct cos x and tanx for the figure below if sin x 13 tan x = 12 12 tan x = 13 12 COS x…

A:

Q: 15. Find the following EXACT: (a) sin[cos'(2/3)] (b) sin[tan(-6)]

A: We use sin[cos-1(x)]= √(1-x2) and sin[tan-1(x)]=x/√(1+x2)

Q: If sin x = and t <x < 2 find cos (2x). Enter an exact answer. cos (2x) =

A: We have to find the value of cos(2x).

Q: see attachment

A: Since tan x = 1/2 and tan x=opposite/adjacent Let opposite = -1 [because of third quadrant]adjacent…

Q: If f(x) = cos x - 6 tan x, then find: ƒ'(x) = ƒ'(5) = A 9-

A: See this solution

Q: 15. Evaluate | sin° x cos xdx 3

A:

Q: If sin A =2/3 with A in the interval 0° &lt;= A &lt;= 90°, find       tan A/2

A: Given: sin A = 23   with  0° ≤ A ≤ 90° To find: The value of  tan A2.

Q: If cos (2x - 1)° = sin(3x + 6)°, then the value of x is

A:

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

A: 18)

Q: If sin A =2/3 with A in the interval 0° &lt;= A &lt;= 90°, find       cos A/2

A: Given, sin A=23, 0°≤A≤90°

Q: 1) Using the formula: cos(x +y) = cos x cos y – sin x sin y, prove in steps 1+cos 2 x that: cos? x =

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: Let 0 e (7, 27) be' such that tan 0 = . Find sin 0 and cos 0.

A: From the given problem: tanθ=12tan2θ=14sec2θ-1=14sec2θ=54secθ=±521cosθ=±52cosθ=±25  When θ belongs…

Q: 7. Given that sin a 15 and tan 2ß where a and 2ß lie in the interval ( 3t, 2 a) cos 2a b) sin B

A: Given that: sinα=-815tan2β=125

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

A: Given that cosx=-513   and   x∈π2, π. This implies that, sinx=1-cos2x         ∵x lies in…

Q: 20 Establish the identity: 1- cos e sin e sin e 1 + cos e LHS Sunt

A: Let us prove the given identity.

Q: 3 Evaluate cos x sin x dx.

A:

Q: 3. #5. If tan 0: and sin(0 + T) > 0, what is the exact value of cos 0= 2

A:

Q: 7) Given that tan(a) = with a in QIII and cot(B) = --with B in QIV, find sin(a +B) and cos(2a). %3D…

A: Given : tan(α)=23 with α in QIII and cot(β)=-14 with β in QIV. The objective is to find the value of…