Prove that cos - sin = v2 sin , Mathematics

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?.

 

Posted Date: 4/9/2013 1:12:00 AM | Location : United States







Related Discussions:- Prove that cos - sin = v2 sin , Assignment Help, Ask Question on Prove that cos - sin = v2 sin , Get Answer, Expert's Help, Prove that cos - sin = v2 sin Discussions

Write discussion on Prove that cos - sin = v2 sin
Your posts are moderated
Related Questions
A number, x, increased through 3 is multiplied by the similar number, x, increased by 4. What is the product of the two numbers in terms of x? The two numbers in terms of x wou

Ask question #Minimum 100 words accepted

Evaluate following limits. (a) (b)    Solution There in fact isn't a whole lot to this limit. In this case because there is only a 6 in the denominator we'l


what are rules of triangles?

Can you explain that it is true that a line that slopes downward from left to right has a positive slope?

i not knoe examples

If arg (a/b) = pi/2, then find the value of ((a+b)/(a-b)) where a,b are complex numbers. Ans) Arg (a/b) =Pi/2 Tan-1   (a/b)=   Pi/2 A/B = tanP/2 ,therefore a/b=infinity.

can u tell me a website for iit-jee questions?

Q. Find Common Denominators? What does it mean? Say you have two fractions, like 1/3 and 8/21 And they have different denominators (3 and 21). Sometimes, you'd prefer