Q3: Find Fourier frans for m for below sign a ls? O fit)= 3 rect (t) ,O fit)= 8rut(t ) 16 jat ® fit)= 6 sin'(10TC+) .Ofit = 6 cos(I9Tet - I 3

Q: () V3 е) Cos b) sin'(0) h) tan 13

A: (b) We have to find angle of sin-10. Let θ=sin-10 ⇒sinθ=0 We know that sinx has its value 0 at x=nπ,…

Q: L(e-3t (2 cos 5t-3 sin 5t)) 20

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Sinize da Cos2x-5 Cosse +4

A:

Q: verify that cos(alpha-beta)/sin of alpha sin of beta is = cot of alpha cot of beta +1  please show…

A:

Q: The amplitude of y = } cos 3x is and the %3D period is .

A: Given: y=12cos3x To Find: Amplitude and Period Concept: if y=AcosBxthen Amplitude=Aand Period=2πB.

Q: 6. Verify this identity: sec² (0)-1 sec² (0) = sin² (0) You must show all work! 7. Verify this…

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Q: Find the arclength of fox) = Ln/sinx/ on [1, 2] Round the answer to 2 decimals.

A:

Q: Cosx 1+sinx 11. 1+sinx 2secx Cosx

A:

Q: 5п (44) Find the exact value of each of the six trigonometric functions for 0 = 6 sin 5п 6 = CSC xc…

A: Using allied Angle we find all value of trigonometric function. Here 5π6∈(π2,π) In second quadrant…

Q: Find 0, given sin'0 - 0.2 sin0 -0.01. (Give your answers correct to 2 decimal place).

A:

Q: sin [cot(4e¬4*)]cos*[cot(4e¬4*)] dx e^x sin²(4e¬4x) Let u = cot(4e¬4x) %3D

A: Solution: Let the given integral is I=∫sin6cot4e-4xcos4cot4e-4xdxe4xsin24e-4x ......(1) Substitute…

Q: Find Modulus and arg for: fal tand - (b) 1-Cosx +isind 1+ Sind-i Cosa

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Q: Consider the function y=sin0, where 0=u+v. Suppose that u = v. Show how the Sum and Difference…

A: We will see the ans in next step

Q: Evaluate p* sin 0 de dr.

A:

Q: 2. Is trigonometric substitution needed to evaluate /9 - x² dx?

A:

Q: 4л coS 씀Cos 즙Cs -sin sin 15 15 15

A: We have to find the exact value cosπ15cos4π15-sinπ15sin4π15.

Q: und tre e given t Coslutl

A: To find the exact value of cos(u+v)=cos u cos v -sin u sin v and we are given that  sin u =-35 ; cos…

Q: 2t dt (use trigonometric substituion) V9 – 4t2 -

A:

Q: Find cot theta of 4x + 9y = 0, x is greater than or equal to 0.

A: We will find the concept of slope to get value of cot thetha

Q: 7. Prove: cos(0 + 2) 7) = sine.

A:

Q: (sece +tane)(1+sine)de =

A: Evaluate ∫π6π4secθ+tanθ1+sinθdθ

Q: lim ze = -9 cos 3 + i9 sin 3. %3D Select one: O True O False

A: The statement is TRUE  The detailed solution is as follows below:

Q: Why is V /5+ 5 tan² 0 = v5 sec² 0? Because Vtan 0 = sec 0 Because 1+ tan² 0 = sec² 0. • Because sec?…

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Q: Q6) Calculate the mean value of y= 24 sin5 0 cos 0 from 0 = 0 to 0= J\6

A: Mean value is evaluated.

Q: sine cosine tangent

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.