Engineering Board Exam Reviewer · Trigonometric Identities · hard

Simplify: ≤ft( ) + ≤ft(3 ) + ≤ft(5 ) ≤ft( ) + ≤ft(3 ) + ≤ft(5 )

  1. ≤ft(5 )
  2. ≤ft(3 )
  3. ≤ft( )
  4. ≤ft(3 ) ≤ft(5 )

Answer

B. ≤ft(3 )

Solution

Group 5 + =2 3 2 and 5 + =2 3 2 . The ratio is 3 (2 2 +1)/ 3 (2 2 +1)= 3 .

More Trigonometric Identities questions

  1. Evaluate: 20° 10°+ 20° 10°.
  2. Simplify: - ≤ft( ) + ≤ft( )1 - ≤ft( )
  3. Find the value of 3x/ x- 3x/ x.
  4. If A= 35 and A lies in Quadrant II, find 2A.
  5. Find the exact value of 75°.
  6. If A= 45 and B=5/13, with A and B both in Quadrant I, find (A-B).
  7. If A= 45 and B=5/13, with A and B both in Quadrant I, find (A+B).
  8. Simplify: ≤ft(- ≤ft( ) + ≤ft( ) ) ≤ft(- ≤ft( ) + ≤ft( ) )
  9. Simplify: 1 - ≤ft(2 ) ≤ft(2 )
  10. Find the exact value of 15°.

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