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KCET2012MathematicsTrigonometric Ratios & Identities

70^ + 40^ 70^ + 40^ is equal to

Options

  1. A1 3
  2. B3
  3. C1 2
  4. D1

Correct answer

B. 3

Step-by-step solution

aligned 70^ + 40^ 70^ + 40^ =& (90^ -20^ )+ (90^ -40^ ) (90^ -20^ )+ (90^ -50^ ) =& 20^ + 40^ 70^ + 50^ =& 2 30^ 10^ 2 60^ 10^ = 2 30^ 2 60^ =& 2( 3 / 2) 2 ( 1 2 ) = 3 aligned

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