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 sherman''s pulse rate in beats per minute, Sherman took his pulse f...

Sherman took his pulse for 10 seconds and counted 11 beats. What is Sherman's pulse rate in beats per minute? A 10 second count is 1/6 of a minute. To find out the number of be

Repetition need not be boring-ways to aid learning maths, Repetition Need N...

Repetition Need Not Be Boring : From an early age on, children engage in and learn from repetitive behaviour, such as dropping and picking up things, opening and closing boxes an

Inverse function, how to solve the equation of an inverse function

how to solve the equation of an inverse function

Integers, The set of whole numbers also does not satisfy all our requ...

The set of whole numbers also does not satisfy all our requirements as on observation, we find that it does not include negative numbers like -2, -7 and so on. To

Verification cayley Hamilton theorem, (1 0 3 21 -1 1 -1 1) find A-1

(1 0 3 21 -1 1 -1 1) find A-1

Fractions, how do you divide fractions?

how do you divide fractions?

Probability: determine the optimal strategy , On a picnic outing, 2 two-pe...

On a picnic outing, 2 two-person teams are playing hide-and-seek. There are four hiding locations (A, B, C, and D), and the two members of the hiding team can hide separately in a

Number theory, number theory trivia

number theory trivia

Vector analysis ...gradient, A body is constrained to move in a path y = 1+...

A body is constrained to move in a path y = 1+ x^2 and its motion is resisted by friction. The co-efficient of friction is 0.3. The body is acted on by a force F directed towards t

What percent the girls surveyed said that area hockey sport, 450 girls were...

450 girls were surveyed about their favorite sport, 24% said in which basketball is their favorite sport, 13% said in which ice hockey is their favorite sport, and 41% said which s

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