Use the given information to find the exact value of a. sin 20, b. cos 20, and c. tan 20. 15 O lies in quadrant IV 17 cos 0 =-- a. sin 20= (Type an integer or a fraction. Simplify your answer.)

Q: Find the exact value of cos θ​, given that sin θ=12/13 and θ, is in quadrant II. Rationalize…

A: In quadrant II, cos θ is negative.

Q: Use a ratio identity to find tan e given the following values. 3/13 2/13 e = sin 8 = and cos 13 13…

A:

Q: Given that sin(0)= TT 3 and 2 <0<π what is the exact value of cos(20)?

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Q: Find the exact value of the expressions cos(a + B), sin(a+ B) and tan(a + B) under the following…

A: From the given  Sin( α) = 40/41 and Sin(β) = 15/17  Sin(α+β), Cos(α+β),and Tan(α+β) can be…

Q: Given that 3 tan 4x = 1-4 sec 4x, the largest value of æ, for () < x < T, is PT radians, where p =

A: The given trigonometric equation is  3tan24x = 1 - 4sec4x

Q: Given that tan a = 15' and that a lies in quadrant III, find the exact value of the following: • sin…

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Q: Use the given information to find the exact value of: a. sin(α/2)  b. cos(α/2)  c. tan(α/2)

A: It is given that tan α=43 where 180°≤α≤270° so, the angle α is in the third quadrant. So, α2 will…

Q: Use the given below to answer #s 33-35 40 and 0 is in Quadrant IV, then sin 0 =and tan 0 = 6. If cos…

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Q: Evaluate the expression under the given conditions. sin(8 + 9); sin = 159 in Quadrant I, cos pa =-.…

A: To find sin(x+y)

Q: Evaluate the expression under the given conditions.  tan(? + ?); cos(?) = − 1/3, ? in Quadrant III,…

A: This question is based on Inverse Trigonometry and Trignometric ratios.

Q: From the formula of sin (A + B), deduce the formulae of cos(A+ B) and cos (A- B).

A: To derive formula cos(A+B) &amp; cos(A-B) using formula of sin(A+B)

Q: Given that cot(x)=-2 and sin(x)=square root 5 over 5, what is cos,tan,csc,sec?

A: To determine the value of trigonometric ratios.

Q: Use the given information to find the exact value of each of the following. a. sin 20 b. cos 20 c.…

A: Given,

Q: What are the values of cos a and tan a, if a is the measure of an acute angle in triangle and sin a…

A: See the details solution in below

Q: Use the given information to find the exact value of each of the following. a sin 20 b cos 20 C. tan…

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Q: 7 cos? (0) + 2 cos(0) – 7 = 0 COS

A: 7cos2θ+2cosθ-7=0 take x=cos(θ) 7x2+2x-7=0  x1, 2=-b±b2-4ac2a x1, 2=-2±22-4· 7-72· 7 x1, 2=-2±…

Q: Use the given information as cos θ = 40/41, θ lies in quadrant IV to find the exact value of each of…

A: Given: cosθ=4041a sin2θ=2 sinθ cosθbcos2θ=cos2θ-sin2θctan2θ=sin 2θcos 2θ

Q: Use the given information to find the exact value of a. sin 20, b. cos 20, and c. tan 20. 20 0 lies…

A: Here I am attaching image so that you understand each and every step.

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

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Q: Use the given information as sin θ = 15/17, θ lies in quadrant II to find the exact value of each of…

A: Given:sinθ=1517cosθ=1-sin2θasin2θ=2 sinθ cosθbcos2θ=2 cos2θ-1ctan2θ=sin2θcos2θ

Q: Evaluate the expression under the given conditions. cos(0 – 4); cos() = , O in Quadrant IV, tan(@)…

A:

Q: Find the exact value of the following under the given conditions:a. cos(α + β)   b. sin(α + β)   c.…

A: given: tanα=-34, α lies in quadrant II cosβ=13, β lies in quadrant I we have to find the exact…

Q: Find the exact value. Given that sin 0 = - 4 with 0 in quadrant IV, find tan 20. %3D O - 24 24

A: Since, we have been given that sin θ = -45-(i) with θ in IV quadrant.Our Aim is to find tan 2θ=?

Q: Use the given information to find the exact value of the expression. sin θ = 24/26 , θ lies in…

A:

Q: Use the given information as sin θ = - 9/41, θ lies in quadrant III to find the exact value of each…

A: Given, sinθ=-941,    θ lies in III quadrant To find value of a) sin2θb) cos2θc) tan2θ

Q: Given ∆ABC, sin A= , cos A = , tan A =

A:

Q: Use the given conditions to find the exact values of sin(2u), cos(2u), and tan(2u) using the…

A: Givne :  cos ( u ) = - 4/5 And π/2 &lt; u &lt; π  angle lies in second quadrant .

Q: Use the given information to find the exact value of each of the following. a. sin 20 b. cos 20 c.…

A:

Q: Use the given information and a calculator to find e to the nearest tenth of a degree, if 0° se <…

A: We first use cos inverse. cosθ=-0.3189θ=cos-1(-0.3189)θ=108.596414592 But 108.596414592 degree is in…

Q: Find the exact value of the expressions cos(a + B), sin(a + B) and tan(a + B) under the following…

A:

Q: () given that sin x .2, Eくxくπ Find cos and 13

A: Given: sinx=513  and   π2&lt;x&lt;πcosx2=?

Q: Use the given information to find the exact value of the expression. sin θ = 15/17, θ lies in…

A:

Q: Use the given information to find the exact value of each of the following. a. sin 20 b. cos 20 c.…

A:

Q: Given that sin(0) = -, and 0 is in Quadrant III, what is cos(20)? 24 25

A:

Q: Find the exact value of sin α​, given that cos α=− 611 and α is in quadrant II.

A: Given: Cos α = -6/11

Q: Use the given information to find the exact value of a. sin 20, b. cos 20, and c. tan 20. 20 e lies…

A:

Q: Given that tan A= and sin(A B) = 2 cos(A– B), the exact values of %3D sin 2A = and tan B = %3D

A: To find Sin2A and tanB Given that tana=1/3 Sin(A+B)=2cos(A-B)

Q: Use the given conditions to find the exact value of the expression. IT a + 6 cot(a): cos(a) < 0, tan

A: Given function is tanα+π6 Given conditions are : cotα=-38,cosα&lt;0

Q: Use the given information to find the exact value of a. sin 20, b. cos 20, and c. tan 20. 24 e lies…

A: Given Data: The cosine of the angle θ is: cosθ=2425 The angle θ lies in quadrant IV. The sine of the…

Q: Calculate the following (Hint: to find the missing side using Pythagorean) sin(0) cos(0) tan(0)…

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

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Q: Find tan (θ) given that sin (θ) = 1/3 and θ is in quadrant II.

A:

Q: Find the exact value of the expressions cos(a B), sin(a + ) and tan(a B) under the following…

A: To calculate the value of the expression cos(α+β), sin(α+β) and tan(α+β) under the provided…

Q: b) If sin e = 0.625 and cose = 0.500, determine, without using trigonotric tables or calculators,…

A:

Q: Use the given information tan α = 4/3, 180° &lt; α &lt; 270° to find the exact value of the…

A: To Determine: use the given information to find the exact value of the following  a)  sinα2   b)…

Q: Use the given information to find the exact value of each of the following. a. sin 20 b. cos 20 C.…

A:

Q: Given tan θ = −54 and cos θ &gt; 0, find sin θ and sec θ

A: Given that, tan θ = −5/4   and  cos θ &gt; 0 Then θ will lie in the 4th quadrant where cos θ &gt; 0…

Q: 8. Given that sin 0 = , and the angle 0 is in the first quadrant, find the value for cos 0.

A:

Q: Find the exact value of the following under the given conditions:a. cos(α + β)  b. sin(α + β)  c.…

A: It is given that the angle α lies in II quadrant. In II quadrant, all the trigonometric ratios are…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.