1. Evaluate sin(0 + ¢), where sin 0 = 2 with 0 in 2nd quadrant and tan ø = with o in 3rd quadrant.

Q: If sin a = with < a < 2n, find cos - 2

A: Given,sin α = -35α = sin-1-35=323.13 degrees or 216.87 degrees.Since α is between 3π2=270 and 2π…

Q: Find sin (- if tan u = 15.533 and u is in Quadrant-IV. sin) = Your answer should be accurate to 4…

A:

Q: 9. Given that sin A= 5 , where OCA<II, and tan B = -4, and tan B= 4 2. %3D 3. where 3 TT <B <2 Tl,…

A:

Q: 3 with A e QIII , find sin2A 8 7. If cos A =--

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: 1. Given that tan 0 , and cos 0 > 0, find sin 20, cos 20, and tan 20.

A:

Q: 3. Let sin A = with A in QII and cos B = – -i with B in QIII. Find cos(A+ B). (4pts)

A:

Q: If sin = O a) 1/ Ob) _42 4√2 Oc) 4√2 Od) - O e) _4V/2 9 - 4√2 and is in quadrant IV, find sin (20).…

A: sinθ = -1/3  and θ is in 4th quadrant it means cosθ also negrative    sin2θ = 2sinθ*cosθ    sin2θ=…

Q: If it is known that sin a = and < a <n and cos ß = -- and <B < , find the exact %3D value of cos(a +…

A: cos2 α+sin2 α=1  Substitute sin α=13 in the above trigonometric identity: cos2 α+132=1 cos2…

Q: Suppose that cos B = 0.68. What is the value of sin(æ)? %3D

A: Given cos β =0.68

Q: 43. Evaluate sin as sin 12

A:

Q: Evaluate the expression under the given conditions. sin(0 – 4); tan(8) 4' O in Quadrant III, sin(@)…

A: sinθ-φ; tanθ=34, θ in quadrant III, sinφ=-1010, φ in quadrant IV tanθ=34 III quadrant Since both…

Q: If sin A lind cos 2A

A:

Q: Recall that sin² e means (sin 6)2. 2 If sin e = find sin? e. sin? e =

A:

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

A:

Q: 8 If tan 0= T< 0 < 7' 2 find the exact value of each of the following. (a) sin (20)

A: we have given a trigonometrical ratio. We have to find sin2thita

Q: 14. If sin® = , where 0° <0s 90°, what is 0? %3D

A: sin θ = 22sin θ = 12sin θ = sin 45°      θ = 45°

Q: 5. If sin e and 360 < e< 450°, find cos %3D

A:

Q: If sin A= 12/13 with A in Q2 find cos A/2

A:

Q: 4л Compute the exact value of sin( + ). Provide your answer below:

A:

Q: It is given that sin a + sin b = /5/3 and cos a + cos b = 1. Determine the exact value of cos (a -…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Let sin A 13 12 with A in QII and sin B 3 with B in QIII. Find sin(A + B), %3D - 5 cos(A + B), and…

A:

Q: 6. В 11 A In right triangle ABC above, what is sin A? sin(A) =

A: We have given a right angle triangle ABC sinA=perpendicular/hupotenuse  sinA=BCAB sinA=911

Q: If sin a and cos a3D 13 12 what is the value of sec. 13 %3D O 13/2 O 13/2 17 O 17/2 26 O 7/2 26

A:

Q: If 0 = then 6. sin(0) = %3D cos (e) = %3D

A: Given θ=5π6. We know that sinπ-α=sinα and cosπ-α=-cosα

Q: 1 Show that sin e 8 cos (20) + 2 cos (40).

A: We need to show that, sin4θ=38-12cos2θ+18cos4θ

Q: If cos b = and sin a = £, where a and b are between 0 and , evaluate: %3D sin 2a cos(a - b)

A:

Q: 4. Suppose that cos(A) = m , and A is in quadrant I. Then determine sin in terms of m. sin

A: Using half angle formula of trigonometry.

Q: If sin A 315 3π 2 where π < A< then cos 2A =

A:

Q: expand the formula for sin(A+B)

A:

Q: 15. Find the following EXACT: (a) sin[cos'(2/3)] (b) sin[tan(-6)]

A: We use sin[cos-1(x)]= √(1-x2) and sin[tan-1(x)]=x/√(1+x2)

Q: 16. If sin O - cos O = 1 / 3, determine the value of sin O cos O. A. 5 / 4 B. 5 / 9 С.4/9 D. 4 / 5

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Let sin 0 = 12/13, and cos 0 = 5/13, and find the indicated value. %3! %! sec 0 = %3D

A: Given ,  sin θ = 12/13  cos θ = 5/13 We have to find sec θ Since ,

Q: Find ton A and sin 0 Given: CoS 0- 2. and Sin OLO 3.

A:

Q: 1 tan z = 3'

A: The value of tanz =13  is given where, π≤z≤3π2 Solution: (a) Now  we have ,tanz =13, So -tanz will…

Q: .  If tan(t)≈2.7, tan(t)≈2.7, and sin(t)≈0.94, sin(t)≈0.94, find cos(t).

A: For right angle triangle containing base, altitude, hypotenuse and angle x. Tan x = altitude / base…

Q: If sin A = 15/17, sin B = 5/13, cosA = 8/17, andcosB = 12/13, what is the exact value of sin(A – B)…

A: Here we find the value of Sin(A-B)

Q: Let cos(16°) 0.9613 What is the the value of r, in degrees, for sin(z) 2 0.9613 ? Submit Question

A:

Q: 4. Determine the value of sin 56° to four decimal places. C. 0.5218 a. 0.2736 b. 0.3115 d. 0.8290

A:

Q: what is the exact value of the following  y= sin^-1(theta3/2) and y= accros (-theta2/2)

A:

Q: 4. If cos 0 = and tan 0 >0, then sin 0 = 13 O A 12 13 о в 5 12 С. 12 13 O D. 5 12

A:

Q: 17 8 15 What is the sin(ZG)?

A: Since, ∆PQR and ∆JGH are similar triangles, hence by the property of similar triangle-…

Q: Show that 7 sin? xdx L? cos? ædr I|

A:

Q: 1-Show that a + B a sina – sinß = 2cos(,")sin(,"P) 2

A:

Q: 27. sin? ax cos? ax dx

A:

Q: Let 0 e (7, 27) be' such that tan 0 = . Find sin 0 and cos 0.

A: From the given problem: tanθ=12tan2θ=14sec2θ-1=14sec2θ=54secθ=±521cosθ=±52cosθ=±25  When θ belongs…

Q: 1.1 if x=37° and y=44°, Calculate the value of sin'x + 2cos y 1.2 WITHOUT using calculator,…

A:

Q: 29. If sin (a) 3 5 -34 and cos<0, then tan = = 3 (b) (c) (d) 4 3 六

A:

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: 7) Given that tan(a) = with a in QIII and cot(B) = --with B in QIV, find sin(a +B) and cos(2a). %3D…

A: Given : tan(α)=23 with α in QIII and cot(β)=-14 with β in QIV. The objective is to find the value of…

Q: Question in Image.

A: At the outset I must say it's an amazing question. Information is given about α and the questions…

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.