1. Determine the exact value of the following trig expression. Show all steps for full marks. a) sec + sin b) sin 12 cos

Q: Find the exact value of each of the following trigonometric fum 12 90 <0<180° 13 sin 0= cos 0=…

A:

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

A:

Q: Use the given triangles to evaluate the expression sin π/3 . cos π/4 - tan π/4. If necessary,…

A: Here the given graph as

Q: Find the other five trigonometric ratios of 0. cos 8 = tan 8 = csc e = sec e = cot 8 =

A: Given: Triangle has acute angle sin θ=513

Q: For the glven trig expression: a) Delermine where the angle terminates h) Determine the reference…

A: For the given trigonometric expression.      sin(225°). (a)  Determine where the angle terminates…

Q: Match the given information with the appropriate inverse trigonometric ratio to determine m/B. 1.…

A:

Q: If sin e= and 0<es, find the exact value of tan 20. %3D 4 24 24 4

A: Given,        sinθ=35 and 0≤θ≤π2

Q: Use the given triangles to evaluate the expression sin π/4 - cos π/4. If necessary, express the…

A: We know that  Sinθ=opposite sidehypotenuse  and cosθ=adjacent side hypotenuse From the first…

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

A: Calculate sin u using the identity sin2θ+cos2θ=1. sin2u=1--12132sin2u=132-122132sin2u=52132sin u=513…

Q: Use the given triangles to evaluate the expression cos π/3 . sec π/3 - cot π/3. If necessary,…

A: Given triangle is,

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

A: Using sin(2u)=(2tanu)/(1+tan2(u)). Cos(2u)=(1-tan2u)/(1+tan2u). Tan(2u)=(2tanu)/(1-tan2u).

Q: 2. Use the unit circle to find the exact value of the expression below, CSC tan 3 3

A:

Q: 7. State an equivalent expression for sin in terms of the related acute angle.

A:

Q: 4. Given that tan- = cot z, first express as a sum of and an angle, and then apply c trigonometric…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Evaluate the trig function by drawing the appropriate triangle.  1. tan(π/3) 2. cos(7π/6) 3.…

A: We know that  Tan (theta)=opposite side/adjacent side Cos (theta)=adjacent side/hypotenuse…

Q: Find the exact values of the six trigonometric ratios of the angle 0 in the triangle. 25 7 24 sin e…

A:

Q: C. Use sum and difference formulas to find exact values 57 5. tan 12 6. cos 15° D. Determine what…

A: note: as per our company guidelines we are supposed to answer only one question kindly post other…

Q: Use the definitions of the trigonometric ratios to find the value of sin30°sin⁡30°, cos30°cos⁡30°,…

A:

Q: Find sin A, cos A, tan A, and sin B, cos B, and tan B in right triangle ABC, with C 5 90°given the…

A: Given that a=1,b=2. Draw the △ABC with C=90° as shown below:

Q: 91 4) If tan 0 find sin 0. Give a simplified, exact answer. (Do not give a decimal approximation.)…

A: Here we know the value of tan and we have to find the value of sin. For finding the value of sin…

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

A:

Q: Given the value of one trig ratio, provide 3 related evaluated trig ratios. a) sin 49° = 0.7547 b)…

A: csc x = 1/ sin x  cot x = 1/ tanx sec x = 1/ cosx

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: Find the remaining trigonometric ratios of theta based on the given information. cosec = 2 and cos…

A: Given : cosec θ = 2 and cos is negative ,   sin θ = 1/cosec θ = 1/2   cos θ = -(√cosec2θ - 1)/cosec…

Q: State a trigonometric ratio which is equivalent to each of the following trigonometric ratios. 1.…

A: 1) sin 3π10=(sin π-3π10)         [sinθ=sinπ-θ]=sin 7π10 2)-sin 13π7=sin (π+13π7) =sin(207π)=sin…

Q: Use the following triangle to find tan 0. 5 34 NOTE: Enter the enact, fully simplified and…

A:

Q: Find the remaining trigonometric ratios of 0 based on the given information. sin e and e is not in…

A:

Q: Find sin A, cos A, tan A, and sin B, cos B, and tan B in right triangle ABC, with C=90 degree b=1…

A:

Q: Given: tan θ=12/5 What is the trigonometric ratio of sin θ?

A:

Q: 1. Determine the exact value of the following trig expression. a) sec 4 + sin b) sin 12 - cos 6. 6.

A: A): sec7π4cos7π6+sin7π6=cos(π+π6)cos(2π-π4)+sin(π+π6)=cos(-π6)cosπ4+sinπ6=-32×2+12=1-62 is the…

Q: 1. Given the following: sin a = and<a <n and cos ß = - and n <B< a. Draw each triangle in the…

A: Given:                sinα=13     ;                  π2&lt;α&lt;π Hence,             sin α would be…

Q: find the remaining trigonometric ratios of θ based on sin θ = 0.23 and θ is in QI

A:

Q: Show by means of the trigonometric identity sin 3a = 3 sin a - 4 sin'a that the angle 30° cannot be…

A: Given,Sin3α=3sinα-4sin3α       .....1

Q: Question in image.

A: We have to find the value of cos(α + β) when sinα and tanβ are known.

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: Given: tan θ=12/5 What is the trigonometric ratio of cos θ?

A:

Q: Select all the trigonometric values that are equivalent to . sin 30° Cos 45° O tan 45° sin 45° tan…

A:

Q: Given: sin A= and A is in the second quadrant; evaluate the following expression. %3D tan 20 = 4V5…

A:

Q: Find sin A, cos A, tan A, and sin B, cos B, and tan B in right triangle ABC, with C=90° given the…

A: Given that ABC is a right triangle such that ∠C=90° and b=5 and c=6 . We  have to find sinA,…

Q: waht is the exact value using half angle formula of 1. sin(pi/8) 2.cos(-11pi,12) 3. tan (-3pi/8)

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

A:

Q: 4. Use a half-angle identity to find the exact value of each expression. a. sin (165°) b. tan 157.5°…

A:

Q: The length of an arc in a circle of radius r, subtended by an angle theta is given by s=rtheta Where…

A: Let the letter s symbolize the length of an arc, which is called arc length.An arc "subtends" an…

Q: 1. Using the half-angle formula, simplify the following expression. sin 48° 1 + cos 48°

A:

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.