Express the number 2/3 – 3i in the form R(cos(0) +i sin(0)) = Re", where R> 0 and -7 < 0

Q: r=2(9+1)sin0

A: Since  Sin (0) = 0

Q: п/4 sin7x + 1 dx cos?x - π/4 Select one: а. 2 b. 4 С. 1 d. 0

A:

Q: Simplify  1/cos a 1/sin b

A: we know that  1cosθ=secθ1sinθ=cosecθ

Q: epresent 3 sin x + 6 cos x in a form A sin(x + p), use radians for p.

A:

Q: Find an alternative form in terms of x for each of cos(sin- 1 x) and tan(sin- 1 x).

A: Let us make a triangle with opposite = x and hypotenuse=1 , because sin theta= opposite/hypotenuse…

Q: Evaluate / cos(a0)d0 where a is a real number, and C is an arbitrary constant. sin(æ0) + C O a…

A: Solution-

Q: Both x and y are in the domain (0, pi/2) and the value of sinx = 3/5 and cosy = 12/13. Which of the…

A: The objective of the question is to find the value of tan(x + y) given that sin(x) = 3/5 and cos(y)…

Q: Let sinA=-4/5 with A in QIII and cosB=-3/5 with B in QII. Anwer Exactly. Find sin(A-B), cos(A-B),…

A: Given,

Q: Show that cos bx = (eibx +e-ibx) and 1 sin bx :(eibx – e-ibx). 2i

A:

Q: ss Z3 to trigonometric form when z1 = 5+3i, z2 = 3+2i and z3 =

A: We have to express z3 as trigonometric form.

Q: cos3θ+cos4θ=0.

A: Consider the given equation, cos3θ+cos4θ=0 By using the formula, cos(a + b) + cos(a - b) =…

Q: Find a value of b such that cos(2b-pi/4)=sin(b+pi/5)

A: Given,          cos2b-π4=sinb+π5

Q: Find all values of sinh-1V2.

A: The answer is, loge(√2 + √3)  The detailed solution is as follows below:

Q: Calculate sin(TA) and cos(TA) for 1 A = -1/6 5/6 and verify the equality sin? (TA) + cos?(TA) = I.…

A:

Q: Derive the following formulas: cos 2x =1-2 sin² x

A: