If it is known that sin 0: and n<0 < find the exact value of cos(20). -

Q: snip

A: First of all use the trigonometric identity that is cosα=1-2sin2α2 and now substitute -35 in place…

Q: 17 Find the exact value of cos20 given csc0 and -< 0 < TI 8.

A:

Q: 13. Suppose sin n° = 15: Find cos nº and tan n° without using a table or calculator. 13

A: Given: sin n°=513. To find: cos n° and tan n°. Solution: We have given sin n°=513. We know that,…

Q: if x is in III, and cos x= - 8/17. Determine the exact value of sin 2x and cos 2x

A:

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

A:

Q: Given that the sin x = 2/5 and cos x = -1/4 with sin x in Q1 and cos x in Q3, find sin( sin x - cos…

A:

Q: if cos A=1/2 with A in QIV find sin A/2

A:

Q: Given that cos(0) with sin(0) < 0, use identities to solve for sin(20) 13 Round to three decimal…

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: . Find, without using tables, the values of Cos x and Sin x, when Cos 2x is : 1/8

A:

Q: Let sin 0 = with A in QIV. Find the exact value of cos 20 %3D 315

A: A is in QIV. There cos is positive  So,

Q: 11. If 0° <0<90° and sin 6 = , find cos 0 using trigonometric identities. %3D 13

A: Explanation: Given that,  sinθ=1213 ;   0°&lt;θ&lt;90° We know that,  In trigonometric ratio:…

Q: 6) Let sin 0 - for n <0 < Find the exact value of: %3D 2. a) cos 0 b) tan 0

A:

Q: Suppose <e<0and tan 0 =-2. Evaluate cos e and sin 0. 2/2

A: It is given that,

Q: If csc(x) = 9, for 90° < x < 180°, then sin (5) = 0.9985 2 (금) CoS 0.0556 tan(5) ||

A: Use pythagorous theorem and half angle formula

Q: If cos A %3D with A in QII V10 Find tan 2A. HIN

A:

Q: Determine the following: a) sin^-1(√2/2) b) cos^-1(-√2/2) c) cos^-1(tan(π/4)) d)…

A: Solution of the problem as follows

Q: Find sin - and cos 2' given that cos 0 and 0<0 < 3

A: Please refer the attached image for complete solution. THANK YOU.

Q: . Evaluate sin 0 if cos 0 = 2/5 and 0 is in quadrant I. %3D Evaluato 000 A if

A:

Q: Find cos 6 given that sin(20) = 5/13 and 0<0 <

A: Use properties of right triangle to get value of thetha

Q: It is known that sin 36°=sin x and xe[0°,360°] . Write down all the possible value(s) of x

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: Is there a value xr for which cos 3x is equal to x? If your answer is 'yes', find with precision to…

A: To find : value of x for which cos(3x) = x if exists

Q: If tan θ= (√2)/5 and π (greater than) θ (greater than) 3 π/2, find the exact value of cos 2 θ

A: We have to solve the trigonometry question

Q: Let tan A = 12/5 with A in Q1. Find exact value for cos(2A)

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: find the exact value of the expressoion:   cos[sin-1(1/2)]

A: We have to evaluate the value of

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: Expand sin(50) in powers of sin(0) and cos(0).

A: In this question we have to expand sin5θ in powers of sinθ and cosθ. we know,…

Q: If cos (alpha + beta ) = 0 , then sin (alpha - beta ) can be reduced to ?

A:

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

A:

Q: 2. Suppose tan x = 3 -- with < x < 2n. Find the exact value of cos ). Show you work carefully. ensem…

A: Given problem:- tan(x) =-4/3 with 3π/2 &lt;x&lt; π To find:- Exact value of cosx2)

Q: uppose that sin(a) = 2/8 and cos(b) =1/9 define in the first quadrant, determine cos(a-b). (round to…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Suppose cos 0 : and 풍 <θ<ㅠ .Find he exact value of tan 0 .

A: Given,            cosθ=-25 and π2&lt;θ&lt;π.

Q: 12 Find sin 2x, cos 2x, and tan 2x if sin x=- and x terminates in quadrant IV. 13 sin 2x %3D cos 2x…

A:

Q: If sin x = and t <x < 2 find cos (2x). Enter an exact answer. cos (2x) =

A: We have to find the value of cos(2x).

Q: if cos A=1/2 with A in QIV find sec A/2

A: Given  We know that

Q: 2 /5 If cos(a) = - with π<α< compute the exact value of the following: 2 cos(2a)=| sin 2 tan 2

A: To find the required values we need to use the double angle formula and the half angle formulas.…

Q: 11.Show that A cos (ω0t) + B sin (ω0t) can be written in the form r sin(ω0t − θ). Determine r and θ…

A:

Q: find the exact values of a) sin(2x), b) cos(2x), c)tan(2x) without solving for x 1. if sin x=1/8…

A:

Q: 12 If cos(a) = with T<a<- compute the exact value of the following: 2 cos(2a)=| sin tan)- 2

A: cos(α)=-22 with π&lt;α&lt;3π2

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

A: Given that cosx=-513   and   x∈π2, π. This implies that, sinx=1-cos2x         ∵x lies in…

Q: If tan θ= √2/5 and π (less than) θ (less than) 3 π/2, find the exact value of cos 2 θ

A: Given tanθ=25   If π&lt;θ&lt;3π2 then  cos2θ=?

Q: 3 Find the value of tan 0/2, if sin 0=-4/5 and e in QIII. O 1/2 2+V3 -2 14. Given tan e=1 and cos…

A: Note :-As you mentioned here for solution only question no. 14 so i am solving only this.

Q: 20 Establish the identity: 1- cos e sin e sin e 1 + cos e LHS Sunt

A: Let us prove the given identity.

Q: Find sin 2x, cos 2x, and tan 2x if tanx=-. and x terminates in guadrant IV 3

A: sin 2x= 2 sin x cos x cos 2x=1-2sin2x tan 2x=(sin 2x)/(cos 2x)

Q: Suppose a = 12 and b = 9. Find an exact value or give at least two decimal places: sin(A) = %3D

A:

Q: 5 If sin u = 13 12 cosu = 13 3 and cos W = 5 W = --, find the exact value of each of the following:…

A:

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…

Q: 1. Find the values of sin 20, cos 20 and tan 20, given: 9 3n a. tan 0 if n<0 < 40 2 3n b. sin 0 if <…

A: Giventanθ=940 ifπ&lt;θ&lt;3π2sinθ=-12 if 3π2&lt;θ&lt;2π.To findsin2θ, cos2 and tanθ

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.