sin (60° + x) + sin(60° - x) എന്നതിന്റെ മൂല്യം കാണുക ?

Question

Question

This question was previously asked in

ALP CBT 2 Physics and Maths Previous Paper 6 (Held On: 22 Jan 2019 Shift 3)

Answer 1

ഉപയോഗിക്കുന്ന സൂത്രവാക്യം:

Sin (A + B) = (sinA × cosB) + (cosA × sinB)

Sin (A – B) = (sinA × cosB) - (cosA × sinB)

ഗണിതക്രിയ:

Sin (60 + x) + sin (60 – x) = {sin (60) × cos(x) + cos (60) × sin(x)} + {sin (60) × cos(x) - cos(60) × sin(x)}

⇒ 2 × {sin (60) × cos(x)}

⇒ 2 × (√3/2) × cos(x)

⇒ √3 cosx