Find the exact value of the expression cos (a+B), sin (os+B), and tam Sin (a) = T)lies in quadrant 1, and sin(B): B lies in quadrant a) cos («+B) b) sin (a+p) in quadrant I, and sin(B) = B lies in quadram %3D ) tan (a +B)

Q: Find sin x/2, cos x/2, and tan x/2 from the given information. csc x = 8,   90° < x < 180

A: Given cscx=8 ,where 90°&lt;x&lt;180°. Here, x lies in 2nd quadrant, so sinx will be positive but…

Q: Find sin(x/2), cos (x/2) and tan(x/2) from the given information  sin(x) = 8/17 , 0° < x < 90°…

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Q: 3) Find the cos(105"), sin(105") and tan(105") by using sum difference formulas and the definition…

A: The objective is to find the required values

Q: If sec θ = -13/6 and sin θ > 0, what is 3sinθ - cos(θ)?

A: Solving the problem by finding where the theta lies.

Q: If sinx−cosx=0, then what is the value of sin^4x+cos^4x?

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Q: Prove that sin 4A = 4sinA cos³A - 4 cosA sinA.

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Q: Evaluate : 1) | cos x 3) [ cos x 2) [ ,cot ydy sin' x 1+ sin x 7/4

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Q: Show that (tan- x) = cos2(tan-1x) and then use Figure 8 to prove that (tan- x) = (x² + 1)-1. V1+x? y…

A: Given:

Q: What is the exact value of 2sin(x/2) * cos(x/2) if sin of x = 3/5 and cos of x = 4/5 ?

A: To determine the exact value of the expression.

Q: 7.6, #1 Find the exact value of the expression whenever it is defined. sin (-)= %3D b. tan-(-V3) =…

A: As per bartleby guidelines we are allowed to answer only one question at a time.So kindly repost…

Q: Suppose that tan 0 = - and 90° <0 < 180°. 4 Find the exact values of cos and tan 2 믐 JT - 0 cos %3D…

A: giventanx=-34   90°&lt;x&lt;180°  we know that…

Q: Verify the identity. sec 0- cos 0= tan 0 sin 0

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Q: sin 2x 29. sin x cos 2r = sec x cos x

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

Q: Verify the Identity: tan 0+ cos 1+sin 0 -= sec 0

A: To prove :- tanθ+cosθ1+sinθ=secθ

Q: Verify the identity. cos 3x + cos x = 4 cos3 x - 2 cos x Working with the left-hand side, use a…

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Q: If sec θ = -13/6 and sin θ > 0 , what is 3 sin θ = cos(-θ) ?

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Q: To verify the identity: tan²θ+1=sec²θ , determine the value of tan²θ−sec²θ (for θ = π/4)

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Q: Beginning with [sin(x)]^2+[cos(x)]^2=1, prove that 1+[cot(x)]^2=[csc(x)]^2

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Q: Verify the identity: cot2 2x + cos2 2x + sin2 2x = csc2 2x

A: The given identity is ot2 2x + cos2 2x + sin2 2x = csc2 2x

Q: Verify the identity: 4 cos x cos 2x sin 3x = sin 2x + sin 4x + sin 6x

A: We have to verify the identity: 4cosxcos2xcos3x=sin2x+sin4x+sin6x We know that…

Q: What is the exact value of cos x if the point (-4,2) lies on the terminal side of n angle x when…

A: Given: -

Q: Show that V2 + V2 cos 2 and cos 16 and use it to find sin 16 Show that

A:

Q: Find sin 0 and cos 0 if tan 0 sin = 3/5 sin = -3/5 sin = 4/5 sin = -4/5 cos = 3/5 cos = -3/5 cos =…

A:

Q: Establish the identity. (5-) - sin cos 0 %3D

A: Given,          sinπ2-θ=cosθWe know that,           sinA-B=sinAcosB-cosAsinB

Q: Suppose that sin(θ)=3/7. What cot(θ)=______

A:

Q: How many values of θ in radians between −2π and 2π satisfy sin(θ) = 1/2?

A:

Q: Show that sin³ +cos³0 sin + cos 2-sin 20 2

A: Here we use the formula of (a+b)^3 .

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

A: values are a) sin(2x) = .3286 b) cos(2x) = .945 c) tan(2x) = .3479 detailed solution is given below…

Q: 7.6, #1 Find the exact value of the expression whenever it is defined. sin- (-) = b. tan-(-V3) =

A:

Q: What is the exact value of 2 sin π/3 - 3 tan π/6?

A: To evaluate:                     2 sinπ3 - 3 tanπ6

Q: Find the value of 2 sin2 30° tan 60° – 3 cos2 60° sec2 30°

A:

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

A: We shall use the trigonometry identities   Sin2x +cos2x =1 Sin2x= 2sinx Cosx   Cos2x= 1- 2sin2x…

Q: Verify the identity: sin(α + β) sin(α - β) = cos2 β - cos2 α

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. csc(x) = 6,   tan(x) &lt; 0…

A: Given informationCosec(x) = 6, tan(x) &lt;0

Q: 2) Explain why sin(@) = cos(90 - 0). %3D

A:

Q: if sin=-5/13, and cos<0, what's tan=? and sec=?

A: Given, sinx=-513 We know that, sin2θ+cos2θ=1⇒cos2θ=1-sin2θ Here,…

Q: Find sin(x/2), cos(x/2), and tan(x/2) from the given information. sin(x)=4/5 , 0˚< x < 90˚

A: Given,         sinx=45 , 0°&lt;x&lt;90° .

Q: 1. When does csc z = 2? 2. When does tanʼr = 1? 3. When does cotx = 0? 4. When does secx = -2?

A: Trigonometric equation

Q: By equating the real parts of cos5θ + j sin5θ = (cosθ + j sinθ)5 Show that cos5θ = 16cos5θ -…

A: Given By equating the real parts of cos5θ + j sin5θ = (cosθ + j sinθ)5

Q: Verify the identity: tan2 2x + sin2 2x + cos2 2x = sec2 2x

A:

Q: Find the exact value of cos^-1(sin (7π/6))  show work

A: cos-1(sin7π6)nowsin7π6=-12

Q: verify the identity  1 + sec ^2 x/ 1 + tan ^2 x = 1+ cos^2x

A: Note that 1+tan^2x = sec^2x  1/sec2x= cos2x

Q: Verify the identity 2 tan α/2 = (sin2 α + 1 - cos2 α)/sin α(1 + cos α)

A: Verify the identity 2 tan α/2 = (sin2 α + 1 - cos2 α)/sin α(1 + cos α)

Q: Prove that; (a) cos4θ- sin4θ = cos 2θ  (b) Sin (π/4 + A) + Sin (π/4 - A) ≡ √2 cos A

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Q: 1. Verify the expression cos(x) + sin x tan x = secx.

A: Given, cos x + sin x tan x = sec x

Q: What is the simplified form of cos 10r-cos 4x sin 10x+sin 4x O -cot(7x) O -tan(7x) O tan(7x) O no…

A: SOLUTION-

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

A: csc(x)=4, tan(x)&lt;0we have to findsin(2x), cos(2x), tan(2x)

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

A: