1 Which is the equivalent form of the expresSion sin r+cot r cos z :? O sin z O cos r - O cos I O1- sin z O no correct answer

Q: 5. Prove the following identities, where the angles involved are acute angles for which the…

A: Introduction :

Q: Which shows a correct trigonometric ratio in AXY Z? 41 40 A 41 sin Z = 40 В tan Z 9 %3D 40 C 9 sin X…

A: Solution:

Q: Q:Prove the following identities: (i) cos A, cos A = sin*A, sin'A (ii) cot A,1=cosec*A , 2 cosec?A

A: There is a sign mistake Right questions are  (1) cos^4A-cos^2A= sin^4A-sin^2A (2) cot^4A-1=…

Q: 4. Which of the following statements are true? L.The range of y= sin' z is (0, =). IL. The range of…

A: We are asked to find which statement is correct.

Q: Which of the following is equivalent to expression cosh?u- sinh²u? (A) 2e-u (B) cosh2u 2e" D none of…

A: Using the formulas of coshx and sinhx

Q: 3. Consider sin(x) cos(x) d.r. Evaluate it first by substituting u1 = sin(x), then again by…

A:

Q: h a Based on the figure given, which of the following is false? O a. sin(01) sec(02) = 1 b. cos(01)…

A:

Q: Which expression is equivalent to sin(2r)cosr? O A. cos(3r) + cos O B. (cos - cos(3x) COS3 Oc…

A: we will following trigonometric identities  sin(A+B) = sin(A) cos(B)+cos (A) sin(B) sin(A-B) =…

Q: Given the following: sin a = and < a <n and cos B = - and n *<p<플 %3D |

A:

Q: Verify the identity. sint- cos t=2 sin t-1 Which of the following four statements establishes the…

A: Given,  sin4 t- cos4 t=2 sin2 t-1

Q: Which of the following is equivalent to 4 cos? r+ 8 sin? 2 +4 tan? x sin? 2? O 4 sec2 x O 4 tan? a O…

A:

Q: To evaluate (csc z cos2 r + tan x) dr, we may substitute u = cos I. Select one: O a. None of these O…

A: To find whether the given statement is true or false

Q: Which of the following is equivalent to expression cosh?u- sinh?u? A 2e-u В 1 2eu cosh2u E none of…

A: We have to find

Q: 55. Verify the following identity and use it to give another proof of the formula (sin x)' = cos x:…

A:

Q: =} = (² S +4)² = cos t} = se

A:

Q: 20. Simplify the expression o con z- sin z-1 tan z O - sec? z O - tan? z O sec? z

A: We have to simplify the following expression -  cos2x-1sin2x-1

Q: Which of the following expressions is exactly 1? T 3 7) T cos () cot ( sec ( 품) tan (4) - O sin (품)…

A:

Q: 26. If cos P =R 3 where 12 <O S 27, and sin Q 13 where <Q<n, then |3D 2 ab the exact value of cos…

A: Here in CosP the values of p is in 4th quadrabt so the value of sin is negative and sinq is in 2…

Q: 4. Which equatlen will allew us to selve for x? 40 A sin 40 b. sin 40 E. cos 40 d. cos 40 e. tan 40…

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

Q: Q:Prove the following identities: (i) cos*A.cos A = sin*A, sin'A (ii) cot'A ,1=cosec*A,2 cosec?A

A:

Q: For any real numbers a, n, and C, cosn?+4 0 + C. 2 COS n²+3 O d0 = a cos а cos n² + 4 O True False

A:

Q: Find (sin z?). Note: this notation means 4 (sin (x?)). d dæ O a2 . cos 2x O 2 cos r? O 2x · cos a? O…

A:

Q: Evaluate the following dete sin a cos a sin(a+0)| (a) sin 3 cos ß sin(3+0) sin cos sin(y+0)|

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 4 pts Two angles, X and Y , are complementary. If cos(X)=, what is sin(Y) ? O not enough information…

A:

Q: Which of the following is true? ot æ dæ = In | csc x|+ C O D. csc x = cot x ° sin æ da = – In | cos…

A: Here we have to determine which statement is true.  a) ∫cotxdx=ln|cscx|+Cb) Dxcscx=cotxc)…

Q: Verify the following identity. sin 0 Cos Which of the following four statements establishes the…

A:

Q: The expression cos a + sec z simplifies to O sin z Osec 2 Otan z 01 - sin a

A: 16) Part A 16) Part B

Q: 9. Which expression is equal to sin x tan x + cos x ? b. sec x a. sin x C. COS X d. sec x 10. What…

A:

Q: 3. Simplify the following expresssion: sin*8-cos'e a. sin 8 cos e sec 8-tan²8 b. sin e cose+cot e…

A: To find- Simplify the following expressions: sin4θ - cos4θsinθ cosθ sec2θ - tan2θsinθ cosθ + cotθ…

Q: What must be the value of A so that cos(a +y) + cos(x – y) = A cos a cos y? %3D O 2 O -1/2 O-2 O 1/2…

A:

Q: Find an equivalent expression to sin (z+) a) sin(2)-√3 cos(z) 2 b) √3 cos(z)+sin(z) 2 O c) -…

A:

Q: Which of the following is equal to P (3r² + In(5x) – sin(r))? dr 5 (a) 6x +- + cos(r) (c) r + +…

A: Here given  ddx3x2 + ln(5x) - sinx Therefore , now calculating derivative of given function we get…

Q: 3. Simplify the following expresssion: sin*e-cos4e а. sin 0 cos e sec20-tan?0 b. cose+cot 0 sin 0 С.…

A: Given:  a. sin4θ-cos4θsin θ cos θb. sec2θ-tan2θsin θc. cos θ+cot θ sin θsin θ To Find: To simplify…

Q: Which of the following trigonometric expression is equivalent to sin (z + Azh A sin (z) cos (Az) +…

A: we know that sin(A+B)=sinAcosB+cosAsinB Given:-   sin(x+∆x) , here A=x and B=∆x

Q: Which is equivalent to ? Select all that apply. O A. sin 30° O B. sin 45° C. cos 45° D. cos 60° E.…

A:

Q: 2. Simplify the expression tan z(cse z-1). O cot? z

A: To simplify the expression tan2xcosec2x-1

Q: Which is equivalent to ? Select all that apply. 2. O A. sin 30° B. sin 45° C. cos 45° D. cos 60° O…

A:

Q: Which of the following is equivalent to expression cosh?u - sinh?u? 1 2e" © none of the given…

A:

Q: 12. Determine the correct simplification of the expression tan acos a+ cos a. a. sin? a b. cos a sin…

A: Given: tan2α cos2α+ cos2α

Q: hich is the equivalent form of the expression 2+tan'z 1? - sec ӕ cos I cos z- 2 sin? x 1+sin2 z O no…

A:

Q: 5. For what numbers x, 0<x < 2n does cos(r) equal 1? (Angles are measured in radians.) (a) r = 0…

A: Given : 0≤x≤2π  does cos(x) equal 1.         cos(x) = 1               x = cos-1(1)               x =…

Q: By an appropriate trigonometric substitution, Choices: √ √10 sin sin 0 cos de cos √10 sin 0 1 /10…

A:

Q: To evaluate (sin z cos? + tan r) dr, we may substitute u = cos T. Select one: O a. None of these O…

A:

Q: Given a + B = 7, show that 2 – 2 sin (a) sin (B) = cos (@) + cos? (8). %3D

A:

Q: 10. Write the given expression in terms of x and y only. sin(cos-1 x – cot-1 y)

A: Accoding to question given that sincos-1x-cot-1y

Q: Which of the following is true? sin (e) – cos (e) = 1 CO %3D sin (e) + cos (e) = 1. %3D sin(e) +…

A: The right angled triangle ∆ABC is shown in the figure given below.   In triangle ∆ABC,AB=xBC=y By,…