find the value of sin (45° + 30°)
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Answer:
sin(45+30)
sinacosb +casasinb
sin45cos30+ cos45sin30
1/✓2*✓3/2+ 1/✓2*1/2
✓3/2✓2+1/2✓2
(✓3+1)/2✓2
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Verified answer
Step-by-step explanation:
Sin(a+b) = sin a cos b + cos a sin b
sin (45+ 30) = sin 45 cos 30+ cos 45 sin 30
= (1÷√2 ) *(√3÷2)+( 1÷√2)* (1÷2)
= (√3+1)÷ 2√2