Question

Without using the trigonometric tables, find the values of :
i) sin 45° cos 30° - cos 45° sin 30°​

Answer 1

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

Step-by-step explanation:

sin 45° cos 30° - cos 45° sin 30°

= 1/√2 × √3/2 - 1/√2× 1/2

= √3/2√2- 1/2√2

= √3-1/2√2

I hope it helps ☺️