Prove that cos - sin = v2 sin , Mathematics

Assignment Help:

If cos?+sin? = √2 cos?, prove that cos? - sin? = √2 sin ?.

Ans: Cos? + Sin? = √2 Cos?

⇒ ( Cos? + Sin?)² = 2Cos²?

⇒ Cos²? + Sin²?+2Cos? Sin? = 2Cos²?

⇒ Cos²? - 2Cos? Sin?+ Sin2? = 2Sin²? ( ∴2Sin²? = 2 - 2Cos²?)

⇒ (Cos? - Sin?)² = 2Sin²? (1- Cos²? = Sin2? & 1 - Sin²? = Cos²?)

or Cos? - Sin? = √2 Sin?.

Related Discussions:- Prove that cos - sin = v2 sin

What is the marginal product of labor function, Your engineering department...

Your engineering department estimated the following production function. Q = 15L 2 - 0.5L 3 a. What is the marginal product of labor function, MP L ? b. What is the aver

Evaluate the perimeter of the plot of land, Evaluate the perimeter of the p...

Evaluate the perimeter of the plot of land. a. 260 m b. 340 m c. 360 m d. 320 m To evaluate the perimeter, we must know the length of all sides. According to the dia

Variation, If p=10 when q=2,find p when q=5

If p=10 when q=2,find p when q=5

Prove that xa+ar=xb+br of circle, In figure, XP and XQ are tangents from X ...

In figure, XP and XQ are tangents from X to the circle with centre O. R is a point on the circle. Prove that XA+AR=XB+BR Ans: Since the length of tangents from externa

Triangles, ABC is a triangle right angled at c. let BC=a, CA=b, AB=c and lr...

ABC is a triangle right angled at c. let BC=a, CA=b, AB=c and lrt p be the length of the perpendicular from C on AB. prove that cp=ab and 1/p2=1/a2+1/b2

Operations research, Solve the following Linear Programming Problem using S...

Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2, Subject to the constraints: X1+ X2 = 4 X1+ X2 = 2 X1, X2 = 0

Determine the length of the field, A rectangular field is to be fenced in c...

A rectangular field is to be fenced in completely. The width is given as 22 yd and the total area is 990 yd 2 . Determine the length of the field? a. 31 yd b. 45 yd c. 968

Intergration, Functional and variations.Block III, Consider the functiona...

Functional and variations.Block III, Consider the functional S[y]=?_1^2 v(x^2+y'')dx , y(1)=0,y(2)=B Show that if ?=S[y+eg]-S[y], then to second order in e, ?=1/2 e?_1^2¦?g^'

Inventory record, a) Complete the inventory record below for an FOQ of 100 ...

a) Complete the inventory record below for an FOQ of 100 units. b) Talk about weaknesses of MRP. List at least 3 and describe each in a sentence or two. Item: A

Second order differential equation, Write the subsequent 2nd order differen...

Write the subsequent 2nd order differential equation as a system of first order, linear differential equations. 2 y′′ - 5 y′ + y = 0 y (3) = 6 y′ (3) = -1 We can wri

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages