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

Illustrate child ability to perform a math task, Give an example to illustr...

Give an example to illustrate how language incompetence can interfere with a child's ability to perform a task. While setting up a classification activity, a teacher gave the ch

Properties of reflection, explain under a reflection the image is laterally...

explain under a reflection the image is laterally inverted.

Simulation and Modeling, I have some sample simulation and modeling practic...

I have some sample simulation and modeling practice questions using isee Stella software.

Project, elliptical path of celestial bodies

elliptical path of celestial bodies

Pi, pi to the ten-thousandths

pi to the ten-thousandths

Ratio math help, Mr.Tanaka has 56 students in his choir the ratio of boys ...

Mr.Tanaka has 56 students in his choir the ratio of boys to girls is 3:4 how many boys and girls are in his class

Example of pythagorean theorem, Any 15 foot ladder is resting against the w...

Any 15 foot ladder is resting against the wall. The bottom is at first 10 feet away from the wall & is being pushed in the direction of the wall at a rate of 1 ft/sec. How rapid is

Matrix, find the value of x for which [1 0] [0 x-8]

find the value of x for which [1 0] [0 x-8]

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