Question

Evaluate
sin30. cos45 + cos30. sin45​

Answer 1

Answer:

1/2×1/√2+√3/2×1/√2

1/2√2+√3/2√2

1+√3/2√2.

Answer 2

Answer:

$1 + \sqrt{3} \div 2 \sqrt{3}$

Step-by-step explanation:

sin 30= 1/2

$cos45 = 1 \div \sqrt{2}$

$cos30 = \sqrt{3} \div 2$

$sin45 = 1 \div \sqrt{2}$

$(1 \ \div 2) = (1 \div \sqrt{2} ) + ( \sqrt{3} \div 2) \times 1 \div \sqrt{2} )$

$= 1 \div 2 \sqrt{2} + \sqrt{3 } \div 2 \sqrt{2}$

$1 + \sqrt{3} \div 2 \sqrt{3}$