Find the exact value of each expression. Do not use a calculator.; sin 30° - cos 45°

Q: Find the exact value of each expression.Do not use a calculator. sec50° cos50°

A: Given:  To find the value of Sec 50o cos 50o

Q: Use the Half-angle Formulas to find the exact value of each expression. cos(- 3π/ 8)

A: Half-angle Formula: 1+cosθ=2cos2θ2.

Q: Find the EXACT value of each expression. DO NOT use a calculator. a) Cot 120◦   b) Cos 495◦

A: We can write an angle of 120 degrees as (90 + 30). Therefore, we get cot 1200 = cot (90 + 30)0  We…

Q: Evaluate the expression without using a calculator, and write your answers in radians. -1( 3 sin rad

A:

Q: cot(x) sin(x)=| sin(x) csc(x) =| sec(x) cos(x)= %3D

A: Given: cot(x)sin(x)=?we know that cot(x)=1tan(x)=cos(x)sin(x)so,…

Q: Find the exact value of each expression.Do not use a calculator.

A: In a right triangle cosine of an angle is equal to ratio of base to hypotenuse. The sine of an angle…

Q: Find the exact value of each expression.cos-1 1

A: To find the exact value of expression cos-11. Solution: Range of cos-1x is -1, 1. Evaluating the…

Q: 1+tantan 30) 1+cotcot x

A: Given: y=1+tantanx1+cotcotx We know that cotθ=1tanθ…

Q: Use a calculator to approximate the value of each expression, if possible.       a. arctan(−8.45)…

A: Use a calculator, to approximate the value of each expression : (a).              arctan(-8.45)…

Q: Use an Addition or Subtraction Formula to simplify the equation. cos(?) cos(2?) + sin(?) sin(2?) =…

A: cos(x)cos(2x)+sin(x)sin(2x)=22[Formula cos(A)cos(B)+sin(A)sin(B)=cos(A-B)…

Q: Evaluate each expression without using a calculator, and write your answers in radians.       tan -1…

A: Consider the given expression: tan-11 Let tan-11=x, Solve:…

Q: Simplify each trigonometric expression by following the indicated direction.

A: Given

Q: Evaluate each expression without using a calculator, and write your answers in radians.       arccos…

A:

Q: Evaluate each expression without using a calculator…

A: Given a Sin arc tan 34Use the following identitySin arc tan x=x1+x2⇒ Sin arc tan…

Q: Find the exact value of each expression: a) cos(pi/3+pi/4) b) cos(pi/3)+cos(pi/4)

A:

Q: Find the value of each trigonometric ratio. Cos X 24 18 30

A:

Q: Solve the given equation  tan(Theta)=7 Theta= ........... rad

A: The trigonometric equation is given by tanθ = 7 To evaluate : The value of θ

Q: Find the exact value of each expression.

A: To find the exact value of cotsin-1-12. Solution: We know that  sin-1-x=-sinx and cot-x=-cotx…

Q: Name the quadrant lies in if cosθ>0 and tanθ<0

A: cosθ>0  &  tanθ<0

Q: Find the exact value of each expression: cos 165°

A: The given expression is cos 165°.

Q: Use a calculator to find the value of each expression rounded to two decimal places. cos-10.6

A: To find the value :                       cos-1 (0.6)

Q: Simplify each expression to a single trigonometric function.   cos 30 degree cos 90 degree - sin 30…

A: Consider the given expression, cos30°cos90°-sin30°sin90° use the trigonometric identity,…

Q: Complete the half-angle identity. sin 스 =

A: To express sin(x/2) in terms of trigonometric ratios of x.

Q: Simplify: cot? B • (1 – cos°B) =

A: Given term is: cot2B.1-cos2B

Q: Find the exact value of each expression. cos 7π/12

A: Consider cos 7π12= cos 3π+4π12 =cos 3π12+4π12= cos π4+π3

Q: simplify each of the following trig expressions. SecA/SinA - SinA/CosA

A: Given, expression is

Q: Find the exact values of the following and simplify without the use of a calculator; all angles are…

A: Consider the given expression:

Q: Write each expression as a single trigonometric function.   cos 15 degree cos 75 degree - sin 15…

A: We know that, cosA+B=cosA·cosB-sinA·sinB        ⋯⋯1

Q: Find the exact value of each expression.Do not use a calculator.

A: Given expression: 6 cos3π4+2 tan-π3 We can write the above expression as 6 cosπ2+π4+2 tan-π3

Q: Evaluate each expression without using a calculator, and write your answers in radians.       tan -1…

A: Given that θ=0.

Q: #6. Write each using only the indicated function a) cos? x - 2 sin x; use sine

A: We need the Pythagorean theorem

Q: Evaluate each expression without using a calculator, and write your answers in radians.       arcos…

A:

Q: Find the exact value of each expression.

A: Consider the given expression. y=sinπ6 Now, use the graphing calculator to find the value of the…

Q: Find the exact value of each expression. (a)     sin(135° − 30°) (b)     sin 135° − cos 30°

A: (a) Sin (135°-30°)1st Method ,   Sin(x-y) = Sinx Cosy - Cos x Sin yNow         Sin 135° = Sin…

Q: Evaluate each expression without using a calculator, and write your answers in radians.       arctan…

A:

Q: Evaluate each expression without using a calculator, and write your answers in radians.       cos -1…

A: The given expression is cos-1(-1). Consider cos-1(-1)=y Now take cos both sides. coscos-1(-1)=cosy…

Q: Find the Value of each COS 28T

A:

Q: cos Z 12 X 35 37

A: In a right angle triangle with respect to angle θ the cosine function is defined as, cos θ=Adjacent…

Q: Evaluate each expression, express your answers in radian. 1. cos-1 2. sin-(-1)

A: topic - Inverse trigonometric functions

Q: Find the exact value of each of the following. (a) sin(390°) (b) tan(-150°) (c) 47 sec (d) 97T CSC

A:

Q: Find the exact value, in radians, of the expression arc cos ().

A: We will solve the required.

Q: Find the value of each trigonometric ratio cos A = adj/hyp C

A:

Q: Use a calculator to find the following function values sin cos 67°

A: Given, sincos67°

Q: Use the given triangle to evaluate the expression. If necessary, express the value without a square…

A: Given:               cosπ4-sinπ4        we know that π4=45°                 =cos45°-sin45°…

Q: Evaluate each expression without using a calculator, and write your answers in radians.       cos…

A: Given:cos12

Q: Find the exact value of each expression. (a) cos(120° + 45°)

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you.  If…

Q: Use an appropriate Half-Angle Formula to find the exact value of the expression. cos (+) 28 (Ⓒ) Bill

A:

Q: Write each trigonometric expression as an algebraic expression. 19) sec cot-x -1 20) sec cos

A: Given:               sec cot-1x=?   Writing the trigonometric expression as an algebraic…

Q: Find each angle measure to the nearest degree. sin X= 1/2

A: We have to measure angle to the nearest degree.

Q: Use a reference angle to find the exact value of the following expression. Do not use a calculator.…

A: Given,  sin(225°)

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.