answer this maths question
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Step-by-step explanation:
7. (I) A = 30°
- Left side = sin 2A
- = sin 2×30°
= sin 60° = √3/2
- Right side = 2 tan A/ (1 + tan²A)
- = 2 tan 30°/sec²A
- = 2 × 1/√3×3/4
= √3/2 [Proved]
(ii) cos 2 A = cos 2× 30°
= cos 60° = 1/2
( 1 - tan²A)/(1 + tan²A)
= ( 1 - tan²30°)/sec²30°
= 1 - (1/√3)²/sec²30°
= 2/3×3/4
= 1/2 [proved]
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