Find the value of sin (50 + θ) - cos (40 - θ). 

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SSC CGL 2023 Tier-I Official Paper (Held On: 20 Jul 2023 Shift 2)
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  1. \(\frac{1}{2}\)
  2. - 1
  3. 0
  4. 1

Answer (Detailed Solution Below)

Option 3 : 0
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Detailed Solution

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Formula used:

sin(90-θ) = cos θ

cos(90-θ) = sin θ

Calculation:

sin (50° +θ) - cos (40° - θ)

= sin( 90 - (40 -θ)) - cos(40 - θ) 

= cos(40 -θ) - cos(40- θ) 

= 0

∴ The correct answer is 0.

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