sin(57) and cos (33)

Q: Use a caloulator to evaluate the expression. sin 253° 39' cos 16° 21'+ cos 253° 39' sin 16 21' sin…

A: Given trigonometric expression is,

Q: 6. Evaluate the following. 97 a. sin 3 b. tan C. sec 6

A: Consider the following expression: sinπ2+θ=cosθ sin2π3=sinπ2+π6=cosπ6=32

Q: Determine the Exact Values of the following expressions 1. sin210 2. (cos30) (2sin60) 3.…

A:

Q: Jse a sum or difference formula to find the exact value of the following. 9n cos 28 sin cos sin 7 7…

A: To evaluate the expression:sin4π7cos9π28-cos4π7sin9π28

Q: 6. Find the identical expression for the following COSX 1+sin x 1 + sin x COS X Select the correct…

A: Some triognometric identities are:  Sin2x + Cos2x = 1 Sin 2x = 2 Sin x Cos x Inverse ( sin x) = Csc…

Q: Gren that Sin ( 5x-38°)= (Cos (2x +I6") OSnS 90° find the value of

A: Given

Q: Simplify the given expression. sin(4x) cos(6x) − sin(6x) cos(4x)

A:

Q: Select the equivalent statement to the expression: sin(-0.88) = – 1.08 %3D O sin( – 1.08) = - 0.88…

A:

Q: Evaluate the following expressions. V2 sin COS 2 -1 tan cos

A: Solve by using inverse trigonometric function

Q: cos?(t) COS 1-cos2 (t)

A: We have to simplify

Q: What expression is equal to the given expression below? 1- tan²x 1+tan²x a. sin 2x b. cos 2x -sin 2x…

A: Given: 1-tan2x1+tan2x We write tan x by using the ratio of sin x and cos x.

Q: Q1. Simplify -3 (cos 50-i sin 50)² (cos 70+ i sin 70) (cos 80+ i sin 80)² (cos+ i sin 0)³ 5 using De…

A:

Q: Find the exact value of sin 5π/12 using the fact that 5π/12 = π/6 + π/4.

A:

Q: Rewrite 4sin(×)as A sin (×+θ) A= Θ=

A: Given,           4sin(x)

Q: 3) Use the addition or subtraction formula to find the exact value of the expression cos

A:

Q: Which of the following expressions is NOT equivalent to sin75°? sin45° + sin30° O sin45°cos30° +…

A:

Q: Verify the identity. (Simplify at each step.) 1 + sin 0 1- sin e 1 + sin 0 |cos e| 1+ sin e 1- sin 8…

A: We have to verify the given identity.

Q: Evaluate sin 0 within AABC. A 25 24 7 sin 0 = Enter your next step here

A: A triangle is a polygon with three sides. A right triangle is a triangle with one of its angles…

Q: 23. Which of the following expressions are defined? Why or why not? (a) sin-(-25 (b) sin-1 3 -1 7…

A: (a). Given expression is sin-1-125. We know that domain of sin-1x is -1,1. Here, -125=-0.04. -125…

Q: Find the exact value of the expression. 5x sin COS COs sin 12 12 12 12 兀 sin 12 COS 12 sin Cos 12 12

A:

Q: Find the following special values: sin 0 (5) cos sin 6 (6) sin 3 COS (7) sin 7 sin - (8) (27) cos ||…

A: These angles are all standard angles and hence referring to the table of trigonometric ratios all…

Q: 2. Simplify the expression: cos (x+)+ cos (x (x%) (i +*) =

A:

Q: Evaluate the following expressions. --(()- cos sin V3 -1 tan sin %3D

A:

Q: Find the exact value of the expression whenever it is defined.

A: We have to find exact value of the expression: cos-132 We know the exact value, cos π6=32 Therefore,…

Q: Write the given expression in terms of x and y only. sin(sin-(x) + cos-1(y))

A:

Q: 2) Use the Sum and Difference formulas to evaluate the following expression cos (345°)

A: Formula ' s  1 ) cos ( A - B )=   cos A cos B + sin A sin B    2 )  cos ( 360 ° - A ) = cos A

Q: Evaluate the following expression when x is π/6. Use exact values. 4 cos ( 2x + π/3)

A:

Q: Evaluate sin 0 within AABC. 7 B 25 24 A sin 0 Enter your next step here

A: A triangle is a polygon with three sides. A right triangle is a triangle with one of its angle being…

Q: Evaluate the expression. sin 2150° + cos 2150° sin 2150° + cos 2150° =

A: We know the identity  Sin2A + cos2A = 1 ( no matter what is the value of A)

Q: Evaluate the following expressions. V3 2 sin cos 2 () tan cos

A: For evaluating sincos-132 let us assume cos x = 32 hence x=cos-132 and  sin x = ±1-322=1-34sin x=…

Q: Evaluate the following expression when x is π/6. Use exact values. 4 − 2/3  sin(3x − π)

A:

Q: Find cos 0. Type + or - (-12,5) [?] 1... 1. Enter

A:

Q: 3. Simplify the following expresssion: sin*8-cos e a. sin 6 cose sec2e-tan2e b. Cuse+cot0 sin 0 С.…

A: (a)  sin4θ-cos4θsinθ cosθusing the formula  a2-b2=(a-b)(a+b)=sin2θ-cos2θ·sin2θ+cos2θsinθ cosθsince,…

Q: 7. Simplify the following formula sin140° cos40° + cos140° sin 40°

A:

Q: Simplify the following expression by first substituting values from the table of exact w resulting…

A: Given: 2 cos 60o

Q: a, - pgâ, + z cos² pâ ‚, what is V •A ? :coS

A: Sol

Q: Evaluate the following expressions. Enter exact answers using fractions. 12 sin cos 13 :)) -D -1 tan…

A: Given, sincos-1-1213 tansin-1-45 We have the evaluate the expression and write the exact values.

Q: Use the following information to determine sin(2x). cos(x)=−1/4 and sin(x) is positive.

A: Given: cosx=-14 and sinx is positive, To determine: The value of sin2x.

Q: Evaluate the following expression when x is pi/6. Use exact values. 6 cos (2x + pi/3)

A:

Q: Which expression Is equal to ian t-1 tan a+1 usIng Identities?

A: Given expression is

Q: Cim sin(4)it in(2411);+ Cos)K Cos(4)k

A: This question can be solved by applying the formulas of limit on first term and by directly applying…

Q: Evaluate the following expression when x is π/6. Use exact values. 4 − 1/3 sin(3x − π)

A:

Q: Write a formula for cos 2x by writing cos 2x as cos (x + x) and using the formula for the cosine of…

A: cos2x

Q: Prove that the following identity is true.   sin4 t - cos4 t / sin2 t cos2 t = sec2 t - csc2 t

A: Given that sin4t-cos4tsin2tcos2t=sec2t-cosec2t

Q: Give the exact value of the expression. sin (2 arcos sin ( 2 arcos 12/5 O 24/5 24/25 O 12/25

A:

Q: Write the given expression in terms of x and y only. sin(sin-1(x) + cos-1(y))

A:

Q: 19. Evaluate the expression without using a calculator. 1 sin 2.cos

A:

Q: Exer. 51–74: Verify the identity by transforming the left- hand side into the right-hand side. 57 (1…

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.