QUESTION 9 () Sinh exp i sin 1 o-i sin 1 | i sinh 1 -i sinh 1

Q: *T/3 sin0 + sin0 tan²0 do sec²0 6.

A:

Q: 6 sin(47y)sin(5y)

A:

Q: sin sin sin sin ¹0+ cos -¹³)-0

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 13x (b) sin 12

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: tan x+ cot x) dx

A: Recall trigonometric identities, Substituting the values in above equation, we get

Q: -1) = 3 sin (tan 8/

A:

Q: Prove sin 2x cot x (1 - cos 2x)

A:

Q: 19. sine = and tan 0 =

A:

Q: tan (sin-)

A:

Q: 2)/ sinh cax )x

A:

Q: Algebraically prove the identity, Left Side sin +1 1 sin 8-1 2 sec² 0. Right Side

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Q: Find dr r = 1 - 04 sin 0

A:

Q: Evaluate ," S"(2 + sin 20) d®dr

A: Evaluate this integral by the procedure of multiple integration as in next step.

Q: TT -1 Cos 2 sin 2

A:

Q: TC Sinh exp -i sinh 1 -i sin 1 i sinh 1 i sin 1

A:

Q: 2- Verify the following identities : [Sinh( u+ v)+ Sinh(u-vl a) Sinhu.Coshv = Coshu.Cosky =-…

A:

Q: 2 sin 0 - 3 sin 0 + 1 = 0

A: We will solve for theta as following .

Q: cosh“ x – sinh“ x = (cosh? x – sinh? x) (cosh² x + sinh² x)

A:

Q: If sine = a, then csce = 01 O a O 1/a

A: cscθ is inverse of sinθ

Q: 4 sin 0-2 csc 0= 0 with 0 degrees

A: We use sin0=0 and csc0=1/sin0

Q: Prove A. Sin(20) = It Cot"@) 200+(0)

A: We know that cot x = cos x / sin x  And sin ( 2x ) = 2 sin x cos x

Q: Sin'z cos' de

A: Given: ∫sin12x cos5x dx  ……1

Q: 3. S sin³ 0 cos³ 0 d0

A: Given

Q: Evaluate s 2°ds Oa 2 (sln2-1) (In2)2 2" In2 Oc sin2-1) (In2)2

A:

Q: Sin 3 o0Tt sin (5 sin 2nt) + Sin z00 Tit sin(ssinzr t)

A: Assume to simplify the given expression. sin300πtsin5sin2πt+sin300πtsin5sin2πt=2sin300πtsin5sin2πt

Q: sin n 3 4TC

A: The given trigonometric function sin4π3 Since sinπ+θ=sinθ

Q: 8. Prove that tan? 0 + cos? 0 + sin² 0 = sec² 0. %3D

A: Explanation and solutions is given below....

Q: 2 sin 20 3 sin 20 - 3 = 0

A: We use quadratic formula to solve for sin(2theta)

Q: sin -1

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: sin 4x cos 3x sin 2x tan 3z dx

A: (NOTE- Since it seems to be a typo mistake so, assuming that in the given integral all the variables…

Q: 5. 4 f sin + 2zdz

A:

Q: 3 sin 0 +7 sin 0+4 sin 0 +2 sin 0 +1 2

A:

Q: 29 у %3D sec y/x + y/x; у(2) п

A: y'=secyx+yx:  y(2)=π.

Q: Cos 0–N1+ Sin 20 Tan 0 Sin 0 –/1 + Sin 20 N.

A: Recall: sin (2θ)= 2 sinθ cosθ sinθ cosθ= tanθ cos2θ+sin2θ=1

Q: 2 sin 0 + sin 2 0 =0 with 0degrees

A: To solve:2sin0+sin20=0

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.