Question

sin 45° cos30° + cos 45° sin 30°​

Answer 1

Answer:

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Step-by-step explanation:

Sin 45°=1/√2

Cos45°=1/√2

sin30°=1/2

Cos30°=√3/2

Therefore

=Sin45°×cos30°+cos45°×sin30°

=1\√2 × √3\2 + 1\√2 × 1\2

=√3\2√2 + 1\2√2

=√3 +1\2√2

Therefore answer is √3+1\2√2

Answer 2

Answer:

$\sin(45) = \frac{1}{ \sqrt{2} }$

$\cos(30 ) = \frac{ \sqrt{3} }{2}$

$\cos(45) = \frac{1}{ \sqrt{2} }$

$\sin(30) = \frac{1}{2}$

$on \: substituting \: the \: values \: \\ we \: get$

$\frac{1}{ \sqrt{2} } . \frac{1}{2} + \frac{1}{ \sqrt{2} } . \frac{ \sqrt{3} }{2}$

$\frac{1}{ \sqrt{2} } . \frac{ \sqrt{3} }{ \sqrt[2]{2} } = \frac{ \sqrt{3 } + 1}{ \sqrt[2]{2} }$

$therefore \: the \: answer \: is \: \frac{ \sqrt{3} + 1}{ \sqrt[2]{2} }$