Quiz No. 1 oprnte %e Laplace Trensfom on the following Cos 3t ci; 7Ct) = si) fle) . %3D

Q: For which angle does cos (0) = 0.1045? %3D O e = 84° O e = 10.45° O e = 11° O e = 6°

A: Given data÷

Q: 3. Evaluate fe cos rdr 4. Evaluate: / tan -1 (3x)dx.

A:

Q: Differentlate. sin(0) e) = 1+ cos(0) f() = -. Write a decimal correct to 4 d.p

A: topic - derivative of a function

Q: If cos 0 = 13 a and e EQIV, find csc 0. 13 csc e = 3 csc e = 11 csc e = 13 13 csc e = %3D 11 csc e =…

A:

Q: sin a =2 and cosec a = Cos a = and sec a = %3D tan a = and cot a = = %3D LIA た一〇

A:

Q: Given cos e =3,8 is in QIV, find csc 0. 5

A:

Q: co) = * a sin-1 =+= COS 6.

A:

Q: 7. In AABC, mZC = 90, AC = 6, and AB = 10. Find tan A.

A: Solution-

Q: If tan 0 = and cot ß = - for 0 in Quadrant Il and B in Quadrant II, find cos(0 – B). %3D 24 4

A: Given that

Q: Refer to the figure below to answer each item. j%319 k%326 K- |=38 sece Choose... Choose... csco 1/2…

A: In the given diagram  we have k=26,  I=38  ,j=19 using the cosine rule

Q: Given ∆ABC, sin A= , cos A = , tan A =

A:

Q: 3) If AB = 12, DE = 8 and AC = 9, find DC. %3D

A: Given: AB=12, DE=8, and AC=9 we have to find DC

Q: O.5 = 0.909 Sind +o1265 Sin 25 %3D

A: Here we solve the given equation by using Newton Raphson method as follows

Q: 7a6(cos +i Si ) IF USE DE MOIURES TheoREM To Find Z. 23

A:

Q: toa tane= 1115 find e decimal Radian, Sdec places.

A: We have to find θ in radians to 3 decimal places for tanθ=1.115

Q: If sin e = , and 0 is in QI, find sec 0. %3D

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Q: if: %3D -3 1- 2 3 Lii. A = 5. T00

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Q: 2. %3D 8. Assume that cos(r) = 15 for r in quadrant IV. Find sin(2.r), cos(2r), and tan(2r).

A: Given - cos(x)=1517, x is in fourth quadrant.To find-sin(2x) , cos(2x) and tan (2x)Here we will use…

Q: Find the exact value of cos 4

A: Here we have to find the exact value of;  cos5π4=?

Q: A) Solue the Sin 40 = Cas 3G within the equation muge -180SOSI8O %3D

A: Solve

Q: Practice : PProve I + cos*O %3D

A: here it should be cot2θ not cos2θ to prove that 1+cot2θ=csc2θ

Angles

In mathematics, angles constitute a very important part. Just like the concept of lines, an angle is a necessary figure that is used for measurement. How do you define its formation? It is formed when two or more lines meet at a point. The point at which two or more lines meet is known as the vertex. When the lines get inclined at this point, they do form various angles. Angles are measured from the vertex in terms of degrees.