A and B are angles such that sin(A) = 1/7 and cos(B) = 1/5. A is in QII and B is in QIV. Find the exact value of tan(A+ B). You do not need to rationalize your final answer. 15.

Q: Q: If a cose - b sin 0 = c, Prove that a sin e + b cos e =+Va?+ b² – c² .

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Q: If sin (2x) = cos (x + 30), what is the value of x ? 20 O30 110 50

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Q: 8. For the angle e= 210° moving counter-clockwise in standard position, determine which primary…

A:

Q: TO is equal to 10 TO 4. The value of 4cos -3 sec 10 tan 30

A: We will find out the required value.

Q: 10. Find sin 6, given that csc0= а. 12 12 b.- 2 c. 3 3

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Q: 21. r = 1- sen 0 22. r = 1+ cos 0

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Q: Given that sin A = -= and tan B which of the following is the 12 %3D value of cos(A – B) if A and B…

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Q: Complete the steps by applying trig identities to show that the left hand side of the equation is…

A: Use the trigonometric identities as written below in each steps to find the result on the right-hand…

Q: = - 13, e is in the third quadrant, and x is in the fourth quadrant; evaluate tan 29 24/5 24/7 12/13

A: Here we will find tan2θ,

Q: S. Which equatien will allow us to selve for x? .sin 40 b. sin 40 E. cos 40 d. cos 40 E. tan 40 L.…

A: From the given figure we can say angle is 40° Opposite side =x and adjacent side=5

Q: Which of the following statement is always true? A Sine or cosine of any reference angle is positive…

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Q: V3 For number 4-5: Given sin a = and cos ß = -;, a is in the second quadrant and ß is in the third…

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Q: ind the points c for the inction hese points corresponds to a local maxi 8. f(x) = [0, 2x] sin(x) +…

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Q: What value of x will make sinx= -? 2 (A none of the given choices 3 TT - 2 - 4 TT 6 B.

A: Given:- sinx = -1/2 To find :- value of x

Q: e one leaf of the rose: r = 6 sin(30)

A: Given r=6sin(3theta)

Q: For a wave to be surfable, it can't break all at once. Robert Guza and Tony Bowen have shown that a…

A: Given: θ=sin-112n+1tanββ=15°n=4

Q: 37 where < < B <2r, find cos (a + B) 2 a<n and cos B = - where Given tan a =

A: We have cosα+β=cos α cos β - sin α sin β tan α=-43⇒cot α=-34⇒cosec  α=1+cot 2α=1+916=2516=±54sin…

Q: Find sin(a) and cos(ß), tan(a) and cot(B), and sec(a) and csc(B). 4 7

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Q: (a) sin(e/2) (b) cos(e/2) (c) tan(8/2)

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Q: Pls help ASAP

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Q: 19 21 Choose the function that could be used to find the measure of the angle with the "?". sin COS…

A: Given: A right-angled triangle with hypotenuse 21 units, and a side as 19 units. From the unknown…

Q: If sint= and t is in the 3rd quadrant, then tant = V 40 3 40 73

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Q: Suppose that y is an angle with sin y = 4/7 and y is not in the first quadrant. What is the exact…

A: given sin γ =47sin2γ =(47)2=1649

Q: 9. Which equation will allow us to selve for x? b. sin x= a. sin x= 7. d. cosx = C. cOs X = e. tan x…

A: Consider the triangle

Q: 2. Which equatien will sllewes to sahve fer x? a sin 40= b sin 40 C. Cos 40 d. cos 40 e t 40= L t 40

A: :

Q: Match the ratios for sin X, cos X and tan X. X Y sin X DRAG & DROP THE ANSWER cos X 7 tan X 4/2 4/2…

A: Use the defination of  trigonometric ratios and find value of each trigonometric ratios.

Q: 4. which ratio is correct for cos (B)? (GSR %3D In AABC, LC is the right angle. If sin (A) =

A: see 2nd part

Q: Given x= what is the exact value of sin(2T-x)? 1 2 NI O 2 05/50 2

A: Use trigonometric coordinate

Q: For what angles O between 0° and 360° is v3 cos 0 = Sin ĕ true?

A:

Q: 1) What is the ratio of the sin X? 4 Y X 4/5 3.

A: Sinx =  ZY/ZX Sinx = 4/5

Q: 5. Find tan e + sin e for the angle 0 shown. 2. 3.

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Q: Suppose that y is an angle with cOs y 4 and y is not in the fourth quadrant. Compute the exact value…

A:

Q: Find (a) sin(?) and cos(?), (b) tan(?) and cot(?), and (c) sec(?) and csc(?). Assume x = 7, y = 9.…

A: First we shall solve the given trianlge. Now we shall find the third side using pythagorus theorem.…

Q: If sin t = - and t is in the 3rd quadrant, then tant: 21 2 29 5 2 21 V21 5 V21

A: Sin t = -2/5  t is in 3rd quadrant.

Q: 7 Use the right triangle and the table to find the measure of angle x Sine Cosine Tangent 8. 30 2.…

A:

Q: The value of Sinh(3i) is A)-i sinh 3 B)i sinh 3 C)i sin 3 D)-i sin 3 E)none

A:

Q: 5. What is the sine ratio of zZ? 16 12 20

A: Given ,

Q: 7. Given that tana = and a lies in quadrant II, find 15 the exact value of tan.. 4 V17 17 4/17 17

A: Given: tanα=815

Q: Q3 Find the value of the angle of cos(sin (x)) ?

A: The given trigonometric function is Here, the angle of the function is sin-1 (x).

Q: The sec?ytanydy 4 + tan²y is equal to In(4 + tan?y) + C A. 4 In(4 + sec?y) + C B.- 2 In(4 + tan?y) +…

A: LetI=∫sec2ytany4+tan2ydySubstitute , u=4+tan2yDifferentiate on both…

Q: For a wave to be surfable, it can't break all at once. Robert Guza and Tony Bowen have shown that a…

A: To Determine: find the angles at the given values of n. Given: we have θ=sin-112n+1tanβ, where βis…

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

A:

Q: After evaluation, if J tan *3rdr=-tan'3r - ( ? ) tan3r +r + C, then find the missing (?) term. ® --…

A: I have appended the formula used in the solution part.

Q: need to prove the equation AC/BD = tan(theta - alpha) + cot(theta). I'm at a total loss for where…

A: Here we have to prove that ,  ACBD=tanθ-α+cotθ

Q: Suppose that y is an angle with tan y = 11 and y is not in the fourth quadrant. Compute the exact 9.…

A:

Q: 1 and which is in the interval [0, n] is y = 2 The angle y whose cosine is- radians.

A: Given, cos (y)=-12  where 0≤y≤πEvaluate y

Q: Given a + B = 7, show that 2 – 2 sin (a) sin (B) = cos (@) + cos? (8). %3D

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Q: Find the ratios for cos A and sin B. A 5 3 Not drawn to scale cos A = sin B =}

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Q: R If is in standard position and ≤0≤ and sin 2 O 5 O_3 3 3 9 then the value of tan is:

A:

Q: Find the exact value of f20, tan (5x)dx 20 Select the correct answer. 10 None of these. 4 10 - 15 15…

A: To evaluate I=∫-π20π20tan45xdx

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.