Find the value of tan30°× sin 60°+ cos60°
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tirunagarishiva003:
Sin 60 is root 3 /2 naa
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→ ( tan30° × sin60° ) + cos60°
We know, tan∅ = cot( 90 - ∅ ). Writing tan30 in form of cot( 90 - 30 )° = cot60°
→ { tan( 90 - 60 ) × sin60° ) + cos60°
→ ( cot60° × sin60° ) + cos60°
We know, cotA = cosA / sinA . Writing cot60° in form of cos60° / sin60°
→ ( { cos60° / sin60° } × sin60° ) + cos60°
→ ( cos60° × 1 ) + cos60°
→ cos60° + cos60°
→ 2 cos60°
→ 2 ( 1 / 2 )
→ 1
Therefore, the value of tan30°× sin 60°+ cos60° is 1
We know, tan∅ = cot( 90 - ∅ ). Writing tan30 in form of cot( 90 - 30 )° = cot60°
→ { tan( 90 - 60 ) × sin60° ) + cos60°
→ ( cot60° × sin60° ) + cos60°
We know, cotA = cosA / sinA . Writing cot60° in form of cos60° / sin60°
→ ( { cos60° / sin60° } × sin60° ) + cos60°
→ ( cos60° × 1 ) + cos60°
→ cos60° + cos60°
→ 2 cos60°
→ 2 ( 1 / 2 )
→ 1
Therefore, the value of tan30°× sin 60°+ cos60° is 1
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