Find the exact values of each expressions 1) sin -1 (square root 2/2) 2) sin -1 (sin 11Pi/5)

Q: Use a sum or difference formula to find the exact value of the following. sin 148° cos 103° - cos…

A:

Q: Find the exact value of sin 80° cos 20° - cos 80° sin 20°.

A: Use the identity sina-b=sin a·cos b-cos a·sin b.

Q: to find the 12 Evaluate sin- exact value.

A: Given that

Q: Find the exact value of sin 2x , cos 2x , tan 2x , and the quadrant in which 2x lies given that sinx…

A: Given:sin x=1237 and x lies in 2nd quadrant.  In 2nd quadrant only sine is positive, cosine and…

Q: Find the exact values: 1. tan tan ((-(square root of 3)/2)) 2. cos cos ((-8/15)) 3. sin sin…

A:

Q: Find all solutions in radians using exact values only.         sin 3x cos 2x + cos 3x sin 2x = 1

A: Given that: sin3xcos2x+cos3xsin2x=1

Q: Find all solutions in radians using exact values only: sin2(8 x) = 1

A: We have to find all the solutions in radian for the expression sin28x=1

Q: Find the exact value of sin 270°. sin270° %3D

A: Solution: The objective is to find exact value of sin(270)

Q: Find the exact value of sin(π/3) sin(π/3)=

A: We can make it easier for you

Q: Show how sin(2) can be calculated using the fact that sin(7) 2

A: Recall: sinπ-θ=sin θ Given,  sinπ3=32

Q: Find the value of sin40 cos20 +cos 40 sin20

A: sin40 cos20 +cos 40 sin20we will use  cos(a)cos(t)-sin(s)sin(t)

Q: Solve the expressions and arrange them in decreasing order of their values. sin(195°) – sin(105°)…

A:

Q: Find the exact value of the expression. 15 -1 tan + sin 17

A: Prequisites

Q: find the exact value of the expression -3/2 {sin240-sin150}

A:

Q: Find the exact value of the expression. Not a decimal. Sin[tan^-1 (- square root of 3/3)]

A:

Q: Find two values of θ, 0 ≤ θ < 2π, that satisfy the equation sin θ = -√2/2.

A: the given expression is sinθ=-22 0≤θ<2π

Q: Compute the exact value of sin() (7. 8

A: To find:sin7π8

Q: Give the exact value. 5л sin 3

A:

Q: How does one work out a question like sin(4pi/2) or sin(123pi)? What are the steps taken, and the…

A: The sign of trigonometric functions in different quadrants are: All trigonometric functions are…

Q: Determine the exact value of sin 160° cos 35° – sin 75° cos 55°. -

A: Given information: sin160cos35-sin(75)cos(55)

Q: Use the sin difference formula and exact values of trig functions to verify the identity: 2 sin(x- )…

A: sin(A-B)=sinA cos B- cos A sinB

Q: use a calculator to solve each equation on the interval 0<=0< 6 2pi. Round answers to two…

A:

Q: Solve 4 sin = 3 for the four smallest positive solutions Give your answers accurate to at least two…

A: trignometry problem...

Q: find the exact value of sin(2θ), cos(2θ), tan(2θ), and the quadrant of 2θ. sin(θ)=-(√10)/10), θ in…

A: Given,

Q: 3. Find the exact value of sin (7/3) without a calculator.

A:

Q: What quadrants do the solutions to 2 sin(x) + sqrt3 = 0 lie in?

A:

Q: Find the exact value of the expression. sin 15° cos 45° + cos 15° sin 45° -/2

A:

Q: 4. REPRESENT/SOLVE – Given that sin 0 = – and tan 0 > 0, find sec 0.

A:

Q: What is the exact value of sin (-11π/2)?

A:

Q: Find the exact value of sin 12 by using a sum or difference formula.

A:

Q: Find the exact value of cosθ. sinθ= -7/25,Pi less than θ less b than 3Pi/2. Cosθ=?

A:

Q: Give the exact value of sin(-1).

A: We have to follow simple trigonometric rules to solve the problem

Q: tan sin -1/ 2 3 + COS 9

A:

Q: sin 60⁰ cos 300⁰

A:

Q: Solve 8 sin = 7 for the four smallest positive solutions x = Give your answers accurate to at least…

A:

Q: Simplify sin(4x) + sin(2x) cos(4x) + cos(2x) to an expression involving a single trigonometric…

A: SOLUTION-

Q: Find all solutions of the equation 5 sin θ + 1 = 3 sin θ.

A: 5sinθ+1=3sinθ

Q: Evaluate the expression without using a calculator: (sin(π/3)cos(π/4)-sin(π/4)cos(π/3))2

A: Given- sinπ3·cosπ4-sinπ4·cosπ32 To find- The value of the above expression.

Q: Find the exact value by using a sum or difference identity. 15) sin (95") cos (35') - cos (95") sin…

A:

Q: 4. Solve sin2x sin x over the interval [0, 2t) and if possible, leave your answer in radian.

A:

Q: Give the exact value of sin (2 sin ). ().

A:

Q: (i) Find all sin 20=sec0 the values of 0, 05052 for which

A: Proceed as shown below...

Q: Write a formula for sin 2x by writing sin 2x as sin (x + x) and using the formula forthe sine of a…

A: Formula used: Addition formula for trigonometry. sinA+B=sinA·cosB+sinB·cosA Calculation: The formula…

Q: sin sin-1

A:

Q: Find the exact value of sin (4). sin (4)

A:

Q: Find all solutions in radians using exact values only.       sin 2x cos 3x + cos 2x sin 3x = 21

A: some trigonometric…

Q: Find sin 2 x, cos 2x, and tan 2xfrom the given information. sinx=8/17, x in QII

A: We have given the value of the  trigonometric ratios of sinx  Sin(x) = 8/17

Q: What is 16 sin 4x cos 4x = ?

A:

Q: Use the sum-to-product formulas to find the exact value of the expression. 4 sin - 4 sin 4 4

A: Sum-to-product formula:-                 sinα-sinβ=2cosα+β2sinα-β2

Q: Find the exact value of the expression. sin293° cos 23° – cos293° sin23°

A:

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.