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

Angles, samuel left mauritius at 22:30 on saturday and travelled to london ...

samuel left mauritius at 22:30 on saturday and travelled to london (GMT) for 14h30min he had a stopover for 4 h in london and he continued to travel to toronto for another 6h20min

Chebychevs lemma, proof of chebychevs lemma

proof of chebychevs lemma

The bionomial theorem for rational index, use the bionomial theorem to expa...

use the bionomial theorem to expand x+2/(2-X)(WHOLE SQUARE 2)

Prove that sec2+cosec2 can never be less than 2, Prove that sec 2 θ+cosec 2...

Prove that sec 2 θ+cosec 2 θ can never be less than 2. Ans: S.T Sec 2 θ + Cosec 2 θ can never be less than 2. If possible let it be less than 2. 1 + Tan 2 θ + 1 + Cot

Combinations, evaluate the expression a) 10C4 b) 10P4.....I do not under...

evaluate the expression a) 10C4 b) 10P4.....I do not understand this

Discrete-time signals as energy or power signals, Classify the following di...

Classify the following discrete-time signals as energy or power signals. If the signal is of energy type, find its energy. Otherwise, find the average power of the signal. X 1

Determine the projection - vector, Determine the Projection of b = (2, 1, -...

Determine the Projection of b = (2, 1, -1) onto a = (1, 0, -2) There is a requirement of a dot product and the magnitude of a. a → • b → = 4 ||a

Application of probability in business, Application of Probability in Busin...

Application of Probability in Business 1. Business games of chance for illustration, Raffles Lotteries. 2. Insurance firms: this is generally done when a new client or prop

Graphical method for interpolation, Graphical Method Whil...

Graphical Method While drawing the graph on a natural scale, the independent variables are marked along the horizontal line and corresponding dependen

Algebra 2 Appendix F, I have an algebra assignment I need help with, you ha...

I have an algebra assignment I need help with, you have helped me before.. I need the work shown.

Write Your Message!

Name

Email id

Message

Verfication Code

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

User Account

All Pages