If sint = - - and t is in the 3rd quadrant, then tan t %3D V45 45 O V45 V45 2 V53 O O O

Q: Answer the following True or False: If a is measured in degrees and f(x) sin x, then f(x) = cos . dr

A:

Q: 10 -dx may be written as Aln secB+ tanB"+C, where A, B, and Care constants not equal to zero.…

A:

Q: find sin (x) Given tan(x) and x E 5 a) b) V41 4 d) 41 c) া Ln

A:

Q: Differentiate the following with respect to the variable: y 3x? sin 2x

A: Given function, y=3x2 sin2x

Q: If y = sin?t+ tant, x= – In(-cost) –e sinr, find the value of y' when t=. 6 A 2/3 V2-e? 3/2 6 D 2+…

A:

Q: b) Find the value of sin x dx

A:

Q: f(æ) = sin(æ*), find f'(x). ind f'(1).

A:

Q: e cos a sin a da

A:

Q: Find sin t and cos t for the given value of t. t = 600°

A: We use ASTC rule for trigonometric ratios.

Q: Find the value of sin H rounded to the nearest hundredth, if necessary. J V3 H V13

A:

Q: Find (a) sin(?) and cos(?), (b) tan(?) and cot(?), and (c) sec(?) and csc(?). Assume x = 4, y = 9.

A: Solution is given as below:

Q: Evaluate each of the following. a) So* sec²(x) tan°(x) dx b) , |x – 5| dx + c) Sx Vx? – 1 dx

A:

Q: Find sin t and cos t for the given value of t. t = 150°

A:

Q: dy If y = tan? x, find da

A:

Q: If sint = - and t is in the 3rd quadrant, then tan t 45 2 45 7 53 V45 7 2 45

A: Trigonometry problem....

Q: sin' x dx

A:

Q: Determine the exact measure(s) of 0, where 0° < 0< 360°. and tan 0 = 0

A:

Q: 꺼니 Sin (t) dt Cos? CE)

A:

Q: If cos t = – and t is in the 3rd quadrant, then sin t V45 7 V45 7 /53 7 V45 2 V45 2

A: We have to find the value of sin t if t is in third quadrant and cos t=-27. We know the identity,…

Q: Evaluate sin z dA, where A is the same triangle as in the problem above.

A: The given double integral is: ∫∫Asin xx dA where A is the triangle bounded by x-axis, the line y=x…

Q: ) Fnd the dope of the line tangent to the gmaph of r= & Sin(a6) at e =

A: Given curve γ=8sin3θ

Q: Q1/ Find L{sin(at + b)}

A:

Q: If sin t = 3 and t is in the 2"d quadrant, then i) tant = ii) sec t =

A:

Q: Complete the table below. Note that t is an angle measured in radians. tan t sin(t – T) | sec(t+27)…

A: Trigonometric functions of allied angles; sin (t - π) = - sin(π - t) = -sin t   sec (t + 2π) = sec t…

Q: 3. cos?wt

A:

Q: If y= sin?t+ tant, x =- In(-cost) - e sinr, find the value of y' when t= 2/3 A V2-e ? B 6/2 2-Vze 2…

A:

Q: Express sin A, cos A, and tan A as ratios. 12 6V3 O A. V3 O- B. V3 V3,,2/3 , V3, O D.

A: We have to express sinA ,cosA and tanA as ratios

Q: The trigonometric substitution x= tan(t) 7 gives J 49 x2+1 dx= sec(t) Select one: O True O False

A:

Q: The value of ∫ is 0

A: Given:The given function is f(x)=sinx2To find:The value of integral ∫22sinx2 dx

Q: 15. f(t) = e" sin bt

A: Given function f(t) = eat sin(bt)

Q: B/ Find the value of 1. tan+e O 1 2 dx 2. tante

A:

Q: The value of sinh ja is equal to а. О b. -1 c. j d. 1

A: Answer

Q: (a) Differentiate In(tan? x). (b) Evaluate VI+e- dx. et

A: a) To find the derivative of ln(tan2x) let y=ln(tan2x) differentiate with respect to x, using chain…

Q: Cos a is? Tan a is?

A:

Q: Using an appropriate substitution, ſ tan³(x)sec"(x)dx is equal

A:

Q: Evaluate the given function ſ tanøsec?ødø

A: Hence, the correct answer is option (d)

Q: If y=sin?t+ tant, x=- – In(- cost) – e sinr, find the value of y' whent=". 4 6 2 2- Vze ? 2/3 V2-e ?…

A:

Q: Let ƒ(x) = sin x. What is the value of ƒ′(p)?

A:

Q: let y = In tan ), then dy is dx :Select one Csc x .a sec x .b .c 2 tan + .d 4 cot

A: Consider the given expression

Q: If sint * and if t is in the second quadrant, then cost is 72 54 None of these V72 3.

A:

Q: find the Value B Prad=1o Prad B cuse sing sine de dø do dø %3D

A:

Q: If y = sin?t+ tant, x=- - In(-cost) - e sinr, find the value of y' when =" 2/3 V2-e 2 6. 24 Vze v…

A: If y=sin2 t+tan t, x=-ln-cos t-esin t, then to find the value of y' when t=π4.

Q: If cos t 4. and t is in the 3d quadrant, then cot t= || 4 V65 V65 4 6. V65 V65 4 V65 9.

A:

Q: If y = sin?t+ tant, x=- In(- cost) – e sinr, find the value of y' when t= . (A 2/3 (B - e 3/2 (D 2+…

A:

Q: /IF XY+Y=1+sind the value of at the fointt0,-1)

A:

Q: Find dy/dr for the following function y = cot-1 (x + sin? (5*))

A:

Q: (b) /(cos æ)* sin a da

A:

Q: (e) sin? x dx

A: