Next Using a double-angle or half-angle formula to simplify the given expressions. (a) If 2 sin(37°)cos(37°) = sin(A°) then A = degrees %3D (b) If cos (2x) – sin (2r) = cos(B°) then %3D B = %3D

Q: Find the identical expression for the following sin A-8. Sin A-2

A:

Q: Find the Amplitude of the following functions and show your complete solution. Answer a-d. a. –3…

A: (a) Given- -3cos 6x To find- The amplitude of the above trigonometric expression. Concept Used-…

Q: Simplify the following expression to a single trig function: cos(5æ) cos(2a) + sin(5æ) sin(2æ).

A: Given : cos5xcos2x+sin5xsin2x

Q: 2. Given the following x values, draw an appropriate triangle and solve for the remaining 5 trig…

A: Given that x = asinθthat is sinθ =xa sinθ =xa = perpendicularhypoteneous

Q: The expression S sin*t cos*tdt , when evaluated will result to sin 4t +t -sin 4t + -t+ 128 sin 8t +…

A:

Q: Find the exact value of the expression. sin s-1 3) 5) B) 5 D 2 Establish the identity. 2 - sin = 1 -…

A:

Q: (c) %3D 2. sin (0-) us (q) %3D sin sin 20 = (a) 6. find the exact value of each expression below.

A:

Q: A support beam is subjected to vibrations along its length, emanating from two machines situated at…

A: Given:  x1=3.75sin100πt+2π9x2=4.42sin100πt-2π5 b  x1=3.75sin100πt cos2π9+cos100πt sin2π9By using…

Q: Find out Sm(A+B)=D5n A +SB? Sin (A+6=? Cos (A-B)=? Sn(A-B=1 CooCA+B)=7

A:

Q: Solve the following equations: a) sin -0 <e< 360 b) sin ở=-.0 <e< 360 e) cos .0 <0< 360 d) cos e-0…

A: Solve the following for θ such that 0°&lt;θ&lt;360° sinθ=45 sinθ=-45 cosθ=45 cosθ=-45 tanθ=45…

Q: If g(x) = x^2 sin(x), then what is g'(5)? Round to the nearest hundredth

A: Please see answer below

Q: Given that sin(a)= 3/4 and cos(b)= -1/3, with a and b both in the interval [pi/2,pi) find the exact…

A:

Q: At 9:00 AM, a thermometer reading 70°F is taken outdoors where the temperature reading is 15°F. At…

A: Thermometer reading at outdoors, Ts = 15°FThermometer reading at indoors, Ts' = 70°F At 9:00 AM, t0…

Q: Answer the following completely. Given: tan a = = 2√6, 3 5' cos B == 1. cos αε[0,π] sin ß < 0 Find…

A:

Q: Solve the following items: A) Knowing that h(x) = cos(2x) * ln(1 + sin(x)), determine h'(0) B)…

A:

Q: 6. Solve the following, where 0° 0, then find cot 0. c. If cos 0 +4 = 2, find 6, where 0° < 0 <…

A: Given: 0°&lt;θ&lt;360° We know that tan180+θ= tanθ ; cosθ=±1-sin2θ

Q: Derive the Product-to-Sum formula sin a cos B = [sin (a+B) + sin (a-B)]. ..... First, rewrite the…

A:

Q: At 10:00 am, a thermometer reading 70°F is taken outside where the air temperature is 15°F. At 10:05…

A:

Q: b. 3 tan e sin e-2 tan e 0

A:

Q: What should be the first step in verifying the following identity? (Hint - look at the numerator)…

A: We have to check which one is satisfied

Q: If sin A = 3/5 with A in QI and cos B = -5/13 with B in Qull, find the following. Express your…

A:

Q: For Items 2 and 3: A ladder 34.5 ft long is leaning against an embankment inclined 62.5° to the…

A:

Q: The formula for cos(a- B) is sin a sin B- cos a cos B cos a cos B + sin a sin B cos a cos B - sin a…

A:

Q: The number of hours of daylight in Boston is given by:where x is the number of days after January…

A: Relation given - y = 3sin2π365x-79+12where,y = number of hoursx = number of daysGiven that,   y =…

Q: 3. Given that cose = 0, find all possible values of 0, for 0° <0< 360°. %3D

A: cosθ = 0 Value of cosθ is zero for odd multiples of π/2   cosθ = cos(2n +1)π/2 θ = (2n +1) π/2 , n =…

Q: Find the exact value of the following: sec (4π/3) =

A: we have to find the exact value of sec4π3

Q: Find the exact value of the given expression. sec(2 sin−1 1/8)

A:

Q: If sin(a)=0.2sin and cos(b)=0.75 determine the values of the following expressions (round to four…

A: Given data: The given value of the sine function is sin(a)=0.2. The given value of the cosine…

Q: please answer all the parts

A:

Q: Write the formula used for each problem, then substitute the values and simplify complete…

A:

Q: A support beam is subjected to vibrations along its length, emanating from two machines situated at…

A: Note- We are entitled to solve only first 3 subparts, unless specified. For Displacement yy=A…

Q: Find the value of R in the following expression: a. cos(0) + b. sin(0) = R cos(0+ a) for a=3.7…

A: Given: acosθ +bsinθ= Rcosθ+α Divide and multiply left hand side by a2+b2 a2+b2aa2+b2cosθ…

Q: In a certain town in North America, the time of sunset for any day of the year can be found using…

A:

Q: 2.) The pressure P of sound waves on a person's eardrum can be modeled by =#cos ( – 1,100) Where a…

A: Given pressure formula is: P = (a/r) . cos [{(2 pi r)/l} - 1100 t]  where a is the maximum sound…

Q: For this problem, recall that sin 0 means (sin 0). 1 If sin e find sin 6 sin 6 = 7 1 sin- 0= O sin?…

A: Here we solve the given trigonometry function

Q: 2. Recall that a sine and a cosine can be expressed in terms of complex exponentials using the…

A:

Q: d the exact value of the expression, if possible. (It 8, csd cos 3

A:

Q: Use compound-angle formulae to solve, for 0 < 0 < 2r: a sin (0 + ) = 2 sin (0 – ) c cos 40 cos 0 +…

A:

Q: ladder is leaning against the side of a house. If the ladder is 26 ft. Long and cos A = ¼. How far…

A:

Q: Simplify the expression vx+S1 as much as possible after substituting 9 tan 6 for x. 9 cos e | 9 csc…

A:

Q: In a certain town in North America, the time of sunrise for any day of the year can be found using…

A:

Q: Given sec(a) = 5/2 and sin(b) = -1/4, and a and b are both in the interval [(3pi)/2, 2pi). Without…

A: Topic-trigonometry

Q: If sin A = 3/5 with A in QI and cos B = −5/13 with B in QIII, find the following. Express your…

A: use the trigonometric identity to solve the sub parts.

Q: Find the value of x. Round to the nearest degree. 1. 2. 3. 14 of 13 of 5n

A: The given triangles are right angle triangles. (a) The value of angle x is calculated as,…

Q: 3 cose = 2.

A:

Q: Match each of the following expressions with an equivalent expression. (You can use each option…

A: Using trigonometric properties: cosec A=1sin A  or  sin A=1cosec Asec A=1cos A   or  cos A=1sec Acot…

Q: Jse a sum or difference formula to find the exact value of the following. 25T Зл 25T sin 42 sin cos…

A:

Q: 1+cos 0 V1- cos 0

A:

Q: nd the exact value of the expression. cos s in 2

A: Given that. Cos[sin^-1(1/2)]  we know that sin(π/6)=1/2

Q: 2. Solve the following equations. (). (a) sin? + cos? x = 1, where x E [0, 2ñ)

A: By see this solution