If  sin(x) = −  40 41  and x is in quadrant III, find the exact values of the expressions without solving for x. (a) sin(x/2) (b) cos(x/2) (c) tan(x/2)

Q: 30. cos (a – B); sinɑ 2 for a in Quadrant II and cosß = 3 - for ß in Quadrant III.

A: Since you have asked multiple questions in single request,  So we will be answering only first…

Q: Find sin(s - t) given that sin s= -5 with s in quadrant IV, and sin t= with t in quadrant II.

A: Given data:     The first given value is: sin s = -1/2. The second given value is: sin t=1/4.   The…

Q: Use a calculator to solve the following equation on the interval 0s0<2n. tan 0 =9

A:

Q: If sin (A) = 3/13 with A in QII, find sec (2A). sec (2A) =

A:

Q: If we make the substitution a =4 tan 0 (for –<0<), then sin 0 is equal to which of the following…

A:

Q: /49-x² dx when converted to e is 7 sin ? 0 cos' 0 de

A: Proper substitution is needed to check it

Q: Use an identity to solve the equation sin x cos x = √2/4  on the interval [0, 2π).

A:

Q: Give two solutions to the equation 4 sin (x) – 3 = 0 where 0° < x< 360°.

A: To find the solution of 4sin2x-3=0

Q: Express the given quantity in terms of sin x and cos x. Sin (2n – x)

A: The given quantity is  sin(2π-x)

Q: sin(x) = 13/23 (in quadrant 1),find cos(2x)=

A:

Q: 6. SOLVE – Given the trig values of sine and cosine below to find tan 0. sin 0 = and cos 0 = 2v10 -

A: Given that  sinθ = - 3/7 cosθ = (2√10)/7 To find tanθ

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Q: Evaluate the expression under the given conditions. sin(0 + p); sin 0 = ₁ 0 in Quadrant I, cos p = -…

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Q: Find r to the nearest minute. a) sin x 0.242 %3D

A:

Q: If sin (x – -) = A cos x, then the number A is equal to A. π С. О В. Е D. –1

A: Given that sinx-π2=A cos x

Q: Express the given quantity in terms of sin x and cos x.

A: Given: The expression sin3π2-x, To determine: The given expression in terms of sinx and cosx,…

Q: Use a calculator to solve the following equation for 0 on the interval sin (0) = 0.168

A: using calculator we have to solve the given equation for θ on the interval -π2,π2sin θ=0.168

Q: Solve the equation for x if 0 ≤ x < 2?. Give your answer in radians using exact values only 4 sin2…

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Q: find the exact values of a) sin(2x), b) cos(2x), and tan(2x) with out solving for x if cos x= -1/2…

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Q: Given the equation (cos x + 2 sin x)2 S Cos x If you integrate the given equation, the answer is

A:

Q: Express the given quantity in terms of sin x and cos x.

A: We can solve this by using the difference formula of sine function . The difference formula of sine…

Q: Solve the following equation 2 cos x = 1 where 0°<x360° where 0° <x< 360° a) b) tan 0 = -2 1 cos -0…

A: given 2cosx=1,tanθ=-2

Q: Graph the equation for values of x between 0° and 360° in multiples of 15°. y = sin(3x)

A:

Q: T 3. cos-x+ tan- x

A: Given cos-1x + tan-1x = π2 we have the relationship tan-1x = cos-1 11+x2 Substituting the tan-1x =…

Q: 4 cosx-1 solve the equation 2 sin x : , giving all values of x between tan x 0° and 360°.

A: The given trigonometric equation is  2sinx = 4cosx-1tanx

Q: express the given quantity in terms of sin x andcos x. cos (3π/2 + x)

A: Given: y=cos3π2+x Express the given quantity in terms of sin(x) and cos(x)

Q: Find sin 2x, cos 2x, and tan 2x if cos x = sin 2x = cos 2x = tan 2x = 0 X 3 and x terminates in…

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Q: If we have the function f(x) = sec x and f(x) = -4, what is f(x) + f(x+2n)+f(x+47). Solve it by…

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Q: Given that E = sin*x- cos*x. Reducing E in terms of the first power of cosine gives:

A:

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

A:

Q: 6. If sin A = where A is in Q2 and secB = where B is in the interval , 2n|, find sin(A – B).

A: We know in the second quadrant(Q2) all the trigonometric ratios except sin and cosec take negative…

Q: If the solution to fez* sec²(e2x+1)dx is equal to k tan(e2*+1) + C , find the exact value of k:.

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Q: 3 , x in quadrant I, then find (without finding x) 5 If cos x = - sin(2x) cos(2x) = tan(2x)

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Q: Using differential, find the approximate value for sin(29°). (29° means 29 degrees)

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Q: Solve the given equation for x  cos(tan-1x)=sin(cot-1 (3/4))

A: we have to solve for x

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

A:

Q: express the given quantity in terms of sin x andcos x. sin (2π - x)

A: expression in cosine and sine form of sin2π-x We used identity:  sinA-B=sinA cosB-cosAsinB

Q: 1 x in quadrant I, then find (without finding x) 4 If sin x = sin(2æ) = cos(2x) tan(2x)

A: Given: sin x=14 and x in quadrant I

Q: Find the exact value of the expression. V2) -1 cos sin 2.

A: ** As per our guidelines, we are supposed to answer only one question at a time. Since you have…

Q: Given that the value of sin x – cos x = -1/3, find the numerical value of sin 2x.

A: We have to find

Q: dx = ? 4 sin x – 3 cosx+5

A:

Q: Solve the equation for x if 0 < x < 2T. Give your answers in radians using exact values only. 2 cos…

A:

Q: As h approaches 0, what value is approached by sin ( +4) - h Hint: sin

A: To find the limit

Q: Find the exact value for the expression under the given conditions. 5 5 cos (a +ß), sin a = - for a…

A: Out of the six trigonometric ratios , two ratios are positive in 3rd quadrant i.e.tanx and cotx and…

Q: Use your calculator and solve for 0 (correct to one decimal place) your with the restriction that 0°…

A: Note: As per company guidelines we are supposed to solve only 3 subparts. So, kindly repost other…

Q: 3 Which of these is not a solution to the equation sin° (x) = sin (x)? 2 4

A:

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. sin(x) = 5 x in Quadrant III 13' 120…

A:

Q: Solve the following equation on the interval [0, 27): tan (x) sin(x) = tan?(x).

A: Given,            tan2(x) sin(x) = tan2(x)       and interval =[0, 2π)

Q: At what value(s) of x does cos(x) = 6x?

A: We have, cos x=6x To find the value of x, we shall find the root of a function  using…

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.