ө If x 7 tan 0, write the expression 2 sin 20 in terms of just x. (Simplify the double angle using a double-angle identity.) 4

Q: B. If cos(a) = sin(52°), what is the value of a? a) 28° b) 38°

A: Solution of the problem as follows

Q: Use the compound angle formulae to determine the exact value of the following expressions. tan"+tan"…

A: (4) a Given that tanπ12+tanπ61-tanπ12tanπ6   It is known that tanx+y=tanx+tany1-tanxtany So,…

Q: Show that sin?(0) [1+ cot²(8)] = 1

A: Solve the given

Q: If (tan r + sec x A+sin r B-sin r what is the value of (A+ B)? 0 4 O. 0.5 O 2 O no correct answer

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Q: Simplify the expression by using a double-angle formula. 2 tan 4 2 1- tan 4 |sin| ]cos[ |tan |cot|…

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Q: 5. If a,ß are acute angles such that 4 cos a 8 and tan ß =, find cos(a-ß) 15 () and sin

A: The detailed solution is given below Thank you

Q: If sin(?) = −1/2, find sin(−?).

A: We use sin(360-a) = -sin(a) and sin(-a) = -sin(a)

Q: If sin e + cos e =p and sec e + cosec e = q, show that q (p? -1) - 2 p.

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Q: If sin 12 1 A – VB, then, by using a half-angle formula, find 2 A В -

A: We know that the half range formula is sinθ2=1-cosθ2. Here, θ=π6.

Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula. sin 6° (a) 1 + cos…

A:

Q: Verify the identity by working the right side: sin? (플) csc2 -cot? z 2 csc2 x+2 csc x cot x

A:

Q: Find the exact values of the sine, cosine, and tangent of the angle. 177 17% 17x 12 4 17x sin 12 17A…

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Q: If (tan r + sec T)" = B sin r what is the value of (A + B)? O 4 O 0.5 O 2 O no correct answer

A: Given that     (tan x + sec x)2 = (A+ sin x)/(B - sin x)  Here we have to find (A + B)2 .

Q: If cos7A = sin(A-60) where 7A is an acute angle , Find the value of A

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Q: Use the given information to express the remaining five trigonometric values of the angle e in terms…

A: Let us consider a right angled triangle ABC making angle θ at point B and right angle at point C,…

Q: Find the value of X, if tan 2X = cot (X- 18°), Where 2X is an acute angle. O 26° O 29° O 30° O None…

A:

Q: use the double-angle identities to answer the following: If sin x = 12/13 and cot x < 0, find…

A: Here we use double identity of sine function Sin(2x)= 2sinxcosx We know that csc(2x) is the…

Q: Use the fundamental identities to simplify the expression. There is more than one correct form of…

A:

Q: Which is the exact value of tan 15° using half-angle identity? A. V2 - 3 B. 2- V3 C. V2- V3 D. V2 -…

A: We can write 15° as 45°-30°. So tan15°=tan45°-30°. Us the identity tanA-B=tanA-tanB1+tanAtanB to…

Q: If sin a = 12, and cos a=, then tan a=D? %3D A. B. A 13 С. 12 D. 13 E. 60 Е. 13

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Q: Write the following in terms of sin ? and cos ?; then simplify if possible. (Leave your answer in…

A:

Q: 1. If a, B are acute angles such 4 that cos a = 8 and tan B=, find 15 a. cos (a- B) b. sin 2

A:

Q: Use identities to simplify the expression. 1+ .2 cot x .. 1 .? 2 cot x Which of the following is a…

A:

Q: If sin(e + a) = 1 and cos(6-a) = v , then the value of 20 - a is 60° 90° 120° 105°

A: sinθ+α=1⇒θ+α=90°  →1&amp;cosθ-α=32⇒θ-α=30°  →2 Now adding equations (1) &amp; (2), we get…

Q: 1 - cos(40) 2

A: We have to simplify the expression  1 - cos4θ2.

Q: Use Half-Angle Identities to find the numbers A and B: sin(π/12)=1/2√(A−√(B)) A= B=

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Q: For what values is the statement sin ―1(sin (θ)) = θ true? Explain your answer.

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Q: By using Trigonometric identities, find the exact value of the expression. sin (45° + 30°). A 4 В) 2…

A:

Q: If sin (2a) cos (a +30), what is the value of a ? O20 O 20 O 30 О 50 O 110

A:

Q: Find sin A, cos A, tan A, and sin B, cos B, and tan B in right triangle ABC, withC = 90 degree, if a…

A: In triangle ABC, C=90°, a=5 &amp; b=12. That is, Now by using Pythagorean theorem in triangle ABC,…

Q: If tan 0 = and 0 <0 <, what is the value of sin ? 5 2/5 | O 2/5

A:

Q: The degree measure of an angle in a right triangle is x, and sin x = Which of these expressions are…

A:

Q: What trigonometric substitution should be used to evaluate ? A x=3 sec® B x=3 tan0 x= 3sin0 D) None…

A:

Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula (a) 2 tan…

A: To simplify the following parts.

Q: sin 2 x (1 + cot 2 x)

A:

Q: If sin ZC AB= and AC = 15, what is the value of cos ZC AB? %3D O 1

A: Given Data: The length of the side  AC is: AC=15 The sine of the angle CAB is: sin∠CAB=35 The sine…

Q: 3. Which expression is equal to SC S using identities? cot x+tant O cos? x sin 2 O - sin? 2 O - cos?…

A: Use trigonometric identities to solve the problem. Use sin2x + cos2x = 1 and secx=1/cosx

Q: Simplify. sin?e + sing csce cos?e tane 2 1

A: The given problem is solved below in detail.

Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula. (a) 2 sin(18°)…

A: In this question we will use basic of trigonometry i.e sin2θ=2sinθcosθ In first question we will put…

Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula. (a)    cso^2( θ…

A:

Q: Given that sec(x)=11/5 and tan(x) &gt;0, find the remaining five trigonometric functions of the…

A: Given that sec(x)=11/5 and tan(x) &gt;0, find the remaining five trigonometric functions of the…

Q: Let a and 3 be angles in [0,] with COS α = 144 , sin 8: 145' 24 25 What is the value of cos(a + 3)?…

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Q: Use a double-angle identity to simplify the following expression. Зл 1 – 2 sin?

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Q: Given sin A = 12/37, find cos A and tan A

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Q: Determine the angle x if it lies on the interval [0,2 pi] sin a – 8 cos? (:) + 7= 0

A:

Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula. (a) 2 sin(18°)…

A:

Q: The expression 1- cos? x is equivalent to O 1 sin? Submit Answer cos x tan? x cot2 sec2 x csc? x

A: We can make it easier for you

Q: Simplify to a single trig ratio: sin? (180 + k) 1 1 - cos( – 360 + k)

A:

Q: Simplify the expression by using a Double-Angle Formula or a Half-Angle Formula. (a)     2 sin(11°)…

A:

Q: 1. Using the half-angle formula, simplify the following expression. sin 48° 1 + cos 48°

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.