x² 12 2. 5. Co

Q: Choose the correct answe

A: Option :- a

Q: Simplify 2sin(4x) cos(4x)

A:

Q: cos² 0 - 1 1 inet 12. lim

A:

Q: tan (? + ?/4) = −√3.

A: tan(? + ?/4) = –√3 To find the value of ? in the equation : tan(? + ?/4) = –√3 we can use the…

Q: Evaluate S´ (2x? + 5 x + 8 )dx. 20 26 None 26

A: Explained below

Q: Co xdx (x² + 3)²" -2

A: We can find the answer as below

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A:

Q: t√√t + ,2 + t dx

A:

Q: X 40 50 Y 30 Z

A:

Q: coth2x – 1 = cosech2x

A: We have been asked to prove a trigonometric identity with hyperbolic functions.

Q: tan? x dx

A:

Q: 36x tan (4x – 5) dx |

A:

Q: 87 D. (5r+ 2) B 39

A:

Q: Find tan L

A: Given,

Q: 2005 X+y Sin X-y 2. 2.

A: Trigonometric identities help to find the simplified form of the given trigonometric expression.…

Q: Evaluate sin 3x dx . a. 0.11 b. 0.44 c. 0.22 d. 0.33

A:

Q: S(Sinx +CoSX) 人×

A: Solution: The objective is to find the value of the given integral

Q: Evaluate | 3xy dy dx. Write your answer as a number in decimal form.

A:

Q: 17 X 1/5 / 1/2 X 3=?

A: Given:Type 1

Q: Find the following.

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: tan-+cotx%= 27 /2

A:

Q: Simplify. State any restrictions on the variables. a) log(x² – 4) – log(x – 2) b) log(x? + 7x + 12)…

A: According to question,Given,a. log x2 -4- log x-2

Q: substitution u = √x to evaluate √√√x+1 s X dx

A: The objective is to evaluate the integral.

Q: Solve for x. 6. X +5 7 X+1 OA. 10

A:

Q: /9-x² dx. Use trigonometric substitution. x2

A: This question is related to indefinite integration, we will we will solve it using given…

Q: Solve for x. In(5x – 3) = 2 O x = e2-3 O x = 1 e-3 a = e+3 O x =

A:

Q: Evaluate x2 dx

A: Use rules of integration

Q: 8 00 -00 dx 4x²+1

A:

Q: 16 30 Find the exact value of x.

A: SOLUTION-

Q: 40 9. Find the exact value of .

A: topic - Pythagoras theorem

Q: Si +dx = -2 x 2 False O True

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.