Algebra
Calculus
Trigonometry
Matrix
Question
Calculate the value
≈0.370512
Evaluate
sin(780∘)sin(480∘)cos(120∘)sin(30)
Calculate
More Steps
Evaluate
sin(780∘)
Rearrange the numbers
sin(60∘+2×360∘)
Rearrange the terms
sin(60∘)
sin(60∘)sin(480∘)cos(120∘)sin(30)
Calculate
More Steps
Evaluate
sin(480∘)
Rearrange the numbers
sin(120∘+360∘)
Rearrange the terms
sin(120∘)
sin(60∘)sin(120∘)cos(120∘)sin(30)
Multiply the terms
More Steps
Evaluate
sin(60∘)sin(120∘)
Calculate the trigonometric value
23sin(120∘)
Calculate the trigonometric value
23×23
To multiply the fractions,multiply the numerators and denominators separately
2×23×3
Multiply the numbers
2×23
Multiply the numbers
43
43cos(120∘)sin(30)
Multiply the terms
More Steps
Evaluate
43cos(120∘)
Calculate the trigonometric value
More Steps
Evaluate
cos(120∘)
Rewrite the expression
−cos(60∘)
Calculate
−21
43(−21)
Multiplying or dividing an odd number of negative terms equals a negative
−43×21
To multiply the fractions,multiply the numerators and denominators separately
−4×23
Multiply the numbers
−83
−83sin(30)
Multiply the numbers
−83sin(30)
Solution
≈0.370512
Show Solution
