Question

Sin 60°×cos 30°+sin 30°× cos 60° is 1​

Answer 1

Step-by-step explanation:

=√3/2×√3/2+1/2×1/2

=3/4+1/4

= 3+1/4

=4/4

=1

Answer 2

$\huge\mathbb\red{To\:Prove}$

sin 60°×cos 30°+sin 30°× cos 60° = 1

$\large\tt\green{Trigonometric\:Values\:Used}$

⤑ sin60° = √3/2

⤑ cos30° = √3/2

⤑ sin30° = ½

⤑ cos60° = ½

$\huge\mathfrak\blue{Proof}$

L.H.S = sin 60°×cos 30°+sin 30°× cos 60°

= √3/2 × √3/2 + ½ × ½

= (√3 × √3)/(2 × 2) + (1 × 1)/(2 × 2)

= ¾ + ¼

= 4/4

= 1

R.H.S = 1

Since,L.H.S = R.H.S

Therefore,

sin 60°×cos 30°+sin 30°× cos 60° = 1

${\purple{\underline{\underline{\bold{\huge{Hence\:Proved}}}}}}$

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