Prove the identity sin(90°x) + sin(90° - x) = 2 cos x We begin on the left side of the equation by using Sum and Difference Formulas. We can then combine like terms, find all exact values, and simplify (ar = (sin 90° cos x + cos 90° sin x) + sin(90°x) + sin(90° - x) sin O COS X Cos 90° sin x o COS X = 2 sin = 2 COS X = 2 cos x

Q: Verify the identity. (Simplify at each step.) sin1/2 x cos x - sin5/2 x cos x = cos³ x/ sin x sin /2…

A:

Q: Please find the exact value of sin^-1 (cos (4π/3) )

A:

Q: Verify the identity. sin x- (sin x+ cos x) 2 Write the left side in terms of a sum or difference…

A:

Q: Verify that sin(x+y) + sin(x-y) = 2sin(x)cos(y). You must list out each step you used to verify this…

A: we know that sinC+sinD=2sinC+D2cosC-D2 here, C≡x+y, D≡x-y

Q: 6. Given: sinx= #, secx<0 Find the exact values of cos 2x and tan SHOW ALL WORK. 6. cos 2x = tan =

A:

Q: Find the exact value of the expression. Not a decimal. sec [sin ^-1 (1/2)]

A: Given that we need to find the exact value of the expression  sec[sin-1 (1/2)] As we know that  sin…

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step. 5…

A: Trigonometry identity used  sec(x) = 1/cos(x)  tan(x) = sin(x)/cos(x)  sin²(x) + cos²(x) = 1

Q: 2) 4 cos x - 2V3 sin x + 2 sin x + v3 - 4 = 0 [Hint: Convert cos²x to 1 – sin² x.] Complete…

A: 2) Given:      4cos2x-23sinx+2sinx+3-4=0   we know that cos2x=1-sin2x   41-sin2x-23sinx+2sinx+3-4=0…

Q: Show that the following is true. sin(x -)- = -cos X 20 PM We begin on the left side of the equation…

A: We have to proof

Q: Show that the following is true. sin(x 프2 = -COS X We begin on the left side of the equation by…

A: Given:

Q: Find all values of x in the interval [0, 2(pi)] that satisfy the equation.  14 + 7 cos(2x) = 21…

A:

Q: 1. Verify the identity. Show all steps. sin x tan² x-sin x = tan x (tan x – 1) cos x sin x+cos x

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

Q: Solve for θ if 0° ≤ θ < 360°. sin θ − √ 3 cos θ = √ 3

A:

Q: Can you please help me with my verify the identity problem? 1 + sec^2x / 1+ tan^2x = 1 + cos^2 x

A:

Q: Prove the identity sin) sin = COS X + x _ We begin on the left side of the equation by using Sum and…

A: We are going to prove:

Q: cos(x1)=-1/3 sin(x2)=2/3 find 1. sin(x1+x2) 2. cos(x1+x2) 3.sin(x1-x2) 4.cos(x1-x2)

A:

Q: i) Simplify sin(2sin-1x). ii) Show that sin 30 = 3 sin 0 – 4sin30. iii) By using the substitution 0…

A:

Q: sin 20 + 2 cos 2 0 Verify the identity tan 0 + 2 cot 0 = sin 0 cos 0

A: Solve the given identity

Q: cos 5x - cos 3x = -8 sin? x(2 cos3 x - cos x) Working with the left-hand side, use a Sum-to-Product…

A:

Q: Find the exact value of sin 0+ cos 0 if cos 0- 23 sin 0=13 and 180° <0<270°. ... sin 0+ cos 0 =…

A:

Q: 5 sin 0 – 4 cos 0 If 5 tan 0 – 4 = 0, then the value of 5 sin 0 + 4 cos 0

A:

Q: tan x = 2 then what does tan(-x)=? if sin x = 0.5 then what does sin(-x)=? if cos x = 0.4 then…

A: We have to find the value

Q: 9. sin-1 /2 /2 10. sin-1_ 1

A: We have to find the exact value of the inverse trigonometric expression: 9.     sin-12210.…

Q: Verify the identity. sin x- sin y x-y x+y cot = tan sin x+ sin y 2 2 Start with the numerator of the…

A:

Q: If cos(4x+12)=sin(6x-8) what’s the value of x

A: Here we use cofunction identity. Cos(x)=sin(90-x) Sin(x)=cos(90-x)

Q: Find all solutions Cos(x/2)-cosx = 0

A:

Q: Verify the identity. sin x/ 1-sin x − cos x/ 1-sin x= 1-cot x /csc x-1 Working with the left-hand…

A: Take LHS and divide by sinx in both parts

Q: sin[sin^(-1)(3)/(5)+cos^(-1)(-(4)/(5))] =

A:

Q: Hence solve the equation 2 sin x tan x = 3 for 0°<- x <- 360°

A:

Q: Prove the identity. cos(x - 1) - sin(x + 1) = = 0 Use the Addition and Subtraction Formulas, and…

A:

Q: Prove the identity. sin + x) + sin - -) =- = cos X We begin on the left side of the equation by…

A: Given sinπ6+x+sinπ6-x=cosx

Q: The value of sin x is given. Find cos xand tan x if x lies in the specified interval. sin x= xe 0 8…

A: Explanation of the answer is as follows

Q: Show that the equation  Sin (x - 60°) - cos(30°-x) = 1   can be written in the form cos x =k where…

A:

Q: Prove the identity. sin(90° + x) + sin(90° - x) = 2 cos x We begin on the left side of the equation…

A:

Q: Verify the identity by converting the left side into sines and cosines. (Simplify at each step.) 7…

A:

Q: sin 20 tan 0+ sin 0 Prove the identity algebraically for all permissible values of 0 and 2 cos? 0…

A:

Q: Verify the identity. (Simplify at each step.) cos³ x sin4 x = (sin4 x — sin6 x)cos x cos³ x sin4 x =…

A:

Q: Verify the identity. (Simplify at each step.) sin3/2 x cos x - sin72 x cos x = cos3 xV sin3 x .…

A: Here we solve the trigonometry equation.

Q: 1. cos(π+x) sec(-x) tan(-x) sec(27+x) sin(7+x) cot(-x) Simplify the expression- simplify every…

A:

Q: Verify the identity. (Simplify at each step.) 8 cos (w/2) - x] sin (ca/2) – x] 8 cos (1/2) – x sin…

A: Explanation of the answer is as follows

Q: 2. Find all solutions to the equation cos 2x + cos x in the interval [0, 7] 3. Find all solutions to…

A:

Q: Find the solution of the equation in the interval 0°≤ x < 360° sin x + √2 = − sin x

A: Given: sinx + √2 = −sinx, 0°≤ x &lt; 360°

Q: csc(x) = 8,   tan(x) < 0 How do I find sin(2x), cos(2x), and tan(2x) from the given information?

A: We have to find sin(2x), cos(2x), and tan(2x)  Here use pythagores theorem

Q: Simplify the identity :   :      sin2 x cos x /Cos 2 x  sin x

A:

Q: 4 3sin(x) = 11 sin(x) a) Using the substitution u= sin(x) show that 3u2 + 11u-4=0 b) Hence, or…

A:

Q: Use the most appropriate method to solve on the interval [0, 2π): cos x csc x = 2 cos x

A:

Q: 1. Find all solutions to the equation sin 2x cos x = sin x in the interval [0,2r] 2. Find all…

A:

Q: Find all solutions to the equation 2 sin x = 1 – sin x for 0 ≤ x ≤ 2π

A:

Q: tan x+1 4. Consider f(x) and g(x) = sin x + cos x %3D %3D sec x a) Identify any non-permissible…

A:

Q: Verify the identity. (Simplify at each step.) (1 + cos α)(1 − cos α) = sin2 α   (1 + cos α)(1 − cos…

A: