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

How much did he have in savings at the starting, Bill spent 50% of his savi...

Bill spent 50% of his savings on school supplies, and then he spent 50% of what was left on lunch. If he had $6 left after lunch, how much did he have in savings at the starting?

Calculate the probability, Given the following decision tree, perform the t...

Given the following decision tree, perform the tasks listed below  1. Simulate the route through the test market and produce results for twenty simulations, calculating the

Equivalent Fractions and Decimals, write each fraction as a decimal .round ...

write each fraction as a decimal .round to the nearest hundredth if necessary (1-4) (14-21)

Frequency polygon, how to compute the frequncy polygon of the scores?

how to compute the frequncy polygon of the scores?

Integration, integral 0 to 4 integral 0 to y root of 9+ysquredxdy

integral 0 to 4 integral 0 to y root of 9+ysquredxdy

Which of the partially ordered sets are lattices, Which of the partially or...

Which of the partially ordered sets in figures (i), (ii) and (iii) are lattices? Justify your answer.   Ans: suppose (L, ≤) be a poset. If each subset {x, y} consisting

Generate pairs of vertices at random , Generate a 1000 vertex graph adding ...

Generate a 1000 vertex graph adding edges randomly one at a time.  How many edges are added before all isolated vertices disappear?  Try the experiment enough times to determine ho

Word problems, A patient will receive hemodialysis for 2.5 hours. The amoun...

A patient will receive hemodialysis for 2.5 hours. The amount of fluid removed per hour is 1.4 liters. The total amount removed in liters, will be

Differential equation - variation of parameters, Variation of Parameters ...

Variation of Parameters Notice there the differential equation, y′′ + q (t) y′ + r (t) y = g (t) Suppose that y 1 (t) and y 2 (t) are a fundamental set of solutions for

Algebra, let setM={X,2X,4X} for any numberX .if average (arthemetic mean)of...

let setM={X,2X,4X} for any numberX .if average (arthemetic mean)of the number in setM is 14.what is the value of X?

Write Your Message!

Captcha
Free Assignment Quote

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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd