Question

sin 10º× cos 80º + cos 10º × sin 80º

Answer 1

Simplify cos(10)cos(80)-sin(10)sin(80)

cos(10)cos(80)−sin(10)sin(80)cos(10)cos(80)-sin(10)sin(80)

Evaluate cos(10)cos(10).

0.984807750.98480775

Evaluate cos(80)cos(80).

0.173648170.17364817

Evaluate sin(80)sin(80).

0.984807750.98480775

Simplify each term.

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0.17101007−0.171010070.17101007-0.17101007

Subtract 0.171010070.17101007 from 0.171010070.17101007.

Answer 2

Sin10°=0.17

Cos80°=0.17

Cos10°=0.98

Sin80°=0.98

0.17^2=0.0289

0.98^2=0.9604

0.0289+0.9604=10.9893