9 Find the exact value of cos e and cot0 given csc 0 =2 and tan e<0. Show all work. 7

Q: Question in Image.

A: To Determine: Find the exact value :

Q: 6. Find the exact of the following, if the exist. a. sec- 2 C. cot e. cos (arccsc12) b. csc-1 1 d.…

A: 6) a) Given:   sec-12            let sec-12=x then x=π4 b) csc-11    then x=π2

Q: 12. Verify the identity by transforming the left side of the equation into the right side. csc 0-sin…

A: 12. We need to verify the following identity cscθ-sinθ = cotθcosθ

Q: 7. Find the exact value of cos(tan (0.8)).

A:

Q: 5. Given that 2 sin 20 = cos 20, a) show that tan 20 = 0.5. b) hence find the values of 0, to one…

A: given that 2sin2θ=cos2θ to prove that tan2θ=0.5 proceed as follows  2sin2θcos2θ=1tan2θ=12tan2θ=0.5

Q: 2. Find cos x and cot x if sin x = 1/4 and tan x< 0.

A:

Q: Find the exact value of cos(a - B) given that sina 4 and cos3 for 8. %3D a in Quadrant III and 3 in…

A: Given: sinα=-45 and cosβ=-58. Here, α is in 3rd quadrant and β is in 2nd quadrant. cosα-β is given…

Q: 15 Suppose that cos 0 = and <0<n. 17 2 Find the exact values of sin- and tan 2

A:

Q: Suppose that sina= 13 and TC <a<Tt. 2 Find the exact values of cos and tan 2 cos = 0 %3D CoS 2 | %3D…

A:

Q: 13. Evaluate the function. Give the exact value. cos (tan (V3) -1 cos(arctan( v3% )= 0.5

A: We have to find out the value

Q: 4) Find the exact value of sin 420 cos 12°- cos 420 sin 12°

A:

Q: 4 Suppose that sin e -and <0<1. Find the exact values of cos 2 and tan 2. Cos 2. = D tan, 2) %3D

A: As we know sin2θ+cos2θ=1. cosθ=1-452=1-1625=-35 Using Double angle formula: sinθ2=1-cosθ2=1+352=810…

Q: 8. Find the exact value of the expression. tan cos 2

A:

Q: 17 If tan(x) = (x in Quadrant IV), find 22 - Round answers to 4 decimal places. sin 2 %3D COS %3D…

A:

Q: (2) Find the exact value of the following: (i) cos-(-) (ii) tan-V3 (ii) 2tan-1+ tan-1, (iv) sec…

A: (i) cos-1(-1/2) = 2π/3 (ii)tan-1(√3) = π/3

Q: 21 If tan(x) = (x in Quadrant I), find 13 Round answers to 4 decimal places. sin 2 CoS %3D tan %3D

A: Given:  tanx=2113, where x lies in the Quadrant I. To Find:  sinx2=?cosx2=?tanx2=?

Q: 1. Use the Intermediate Value Theorem to show that there is the solution to the equation cos(x)=x in…

A: Given cosx=x

Q: 7 and tan 0 > 0, find the exact value of cos 0 If csc 0 = %3D

A:

Q: / Find the value of the following: 1) cos (tan- 1) 2) sin (sin-) -1 3) tan (cos n) cos (sin-1) 4)

A:

Q: and tan (즐) Find sin cos from the given informat 5 sin(x) 0° < x < 90° 13" %3D

A:

Q: 2. Find the exact value of the following expressions: а) sec-- cos + sin b) sin 12 4 6

A: topic - trigonometric ratios

Q: Find cos2t given the following: sin t = -7/25 and cos t > 0

A: Let x be the adjacent side of a right angles triangle with one angle θ and let y be the opposite…

Q: 3 3. Find the value of cos(2x) given that sin x = -and x is in QII.

A:

Q: 4. Determine the exact value for 5TT cos cot 3TT sec

A:

Q: Find the exact value of tan α = 4/3, π &lt; α &lt; 3π/2, and tan β = 5/12, 0 &lt; β &lt; π/2 under…

A: Given condition - π&lt;α&lt;3π2    that means α is in 3rd quadrant.0&lt;β&lt;π2     that means β is…

Q: 7. Give the exact answer for cos ( sin- 13

A: Consider the given expression

Q: 2. cos(arctan(1)) =

A: cosarc cosx =x

Q: 2. Find cos x and cot x if sin x = 1/4 and tan x < 0.

A:

Q: (1) Find the exact values, without using a calculator, of sin (2r), cos (2r) and tan(2r) if tan (r)…

A:

Q: Find sin 2x, cos 2x and tan 2x for the given informat 17. sin x = - where x is in Quadrant III. 18.…

A:

Q: 9. and tan 0<0. 7 Find the exact value of cos 0 and cot0 given csc 0

A: It is given that ,                  cosecθ=97we have to find the value of cosθ and cotθ. we draw a…

Q: 1. Find the exact value of each expression: (d) tan-1 tan 3 cos 15л COS 7 (е) (f) cot ( sin V3 +…

A:

Q: 15 Suppose that tan a = TC <a<t. 2 and - Find the exact values of cos and tan 2 - JT Cos Undefined…

A:

Q: 12 Suppose that tan 0 =-· and 90°<0<180°. 5 Find the exact values of cos and tan 믐 cos Undefine 2…

A:

Q: 57 then 3 If e sin(0) = cos(0) = Give exact values. No decimals allowed!

A:

Q: 3) Given that tan(0) = - and cos(0) > 0, find the exact values of sin(0), cot(t), and csc(0).

A: Given :   To find :

Q: 2 find the remaining trigonometric functions. 2. If tan e = sin 0 = cos e = tan 0 =

A:

Q: 6. Suppose that < 0 < n and sin 0 = . Find the other 5 trigonometric functions evaluated at 0.

A:

Q: 5 and 2 Suppose that csc0 = <0<n. 2 Find the exact values of sin - and tan 2

A:

Q: Find sin 2 and tan from the given information. 2 CoS 2. sin(x) = 25 0° < x < 90° sin(즐)- 2 Cos 2…

A:

Q: Suppose tan(x) = -4/3, where x is located in Quadrant II. Blank 1: Give the exact value of cos(2x).…

A: In this question we have to find following trigonometric ratio which is located in Quadrant II.

Q: 12 Determine the exact value of sin 20 given that cos=- and 13 3π 2 π<0< without determining the…

A: Concept: Trigonometric ratios: sinθ=PH; cosθ=BH Where P is perpendicular , H is hypotenuse and B is…

Q: Suppose that sin u > and cos v = 13 such that bot and v in the and quadrant. as are • What is the…

A: Here, the given values are: sin u=513 &amp; cos v=-35 So, u and v are both in 2nd quadrant.

Q: 5. 9. If cos A= with 0 < A < n, find sin 2A and cos 2A. 13 10. Use the HAI to find the exact value…

A: 9) Given that,  cos A = -5  13   with 0&lt; A &lt; π To find the sin 2A and cos 2A cos2 A = 1- cos…

Q: = cos 30 + sin? tan 2x 1-cot 2x = 2 csc(1 – 3x)

A: Find the first derivative: 7. y=log sin xa 8. y=e3x 9. y=e-bcos 2b

Q: Find sin sin(), cos(2), sin(x) = 2 sin() = = cos (+) = = tan()-[ = and tan from the given…

A:

Q: 2. Find exact value of (a) sin-(-1) (b) cos-11 (c) tan-1 /3 (d) sin(sin¬' 0.8) (e) tan-'(tan ) (f)…

A: (a) Consider the given expression: sin-1-1 Sine gives negative one as it value at -π2. Therefore,…

Q: 2. If sin B is positive and cos B = find the exact values of csc ß and tan B. %3!

A: we know that sin θ = perpendicular/hypo cosθ  = base/hypo cscθ = hypo/perpendicular tan θ=…

Q: 33. Use addition formulas and the values of sin 0 and cos 0 for 0 = to compute sin 12 and cos…

A: Given: sin7π12, cos7π12 We know that sinA+B=sinAcosB+cosAsinB…

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.