Question

Evaluate each of the following:
sin45°sin30°+cos45°sin30°

Answer 1

$1 \div 2 \times \sqrt{2}$

Answer 2

sin45°. sin30° + cos45°. sin30° = 1/√2

Step-by-step explanation:

Evaluate sin45°sin30° + cos45°sin30°

Cos 45°= 1/√2  

Sin 45° = 1/√2  

sin 30° = 1/2

So sin45°sin30°+cos45°sin30° = 1/√2 * 1/2 + 1/√2 * 1/2

 = 1/2√2 + 1/2√2

 = 2/2√2

 = 1/√2

 Value of sin45°. sin30° + cos45°. sin30° = 1/√2