Solve 3sin(5)*cos(95)-3cos(185)*sin(275)+5tan(155)*cot(205)

$$3 \sin ( 5 ) \times \cos ( 95 ) -3 \cos ( 185 ) \times \sin ( 275 ) +5 \tan ( 155 ) \times \cot ( 205 )$$

Evaluate

$$-8.0000000000000023894404668923176124$$

Solution Steps

Evaluate trigonometric functions in the problem

$$3 \cdot 0.08715574274765817 \cdot -0.08715574274765824 - 3 \cdot -0.9961946980917455 \cdot -0.9961946980917455 + 5 \cdot -0.46630765815499864 \cdot 2.1445069205095595$$

Multiply 3 and 0.08715574274765817 to get 0.26146722824297451.

$$0.26146722824297451\left(-0.08715574274765824\right)-3\left(-0.9961946980917455\right)\left(-0.9961946980917455\right)+5\left(-0.46630765815499864\right)\times 2.1445069205095595$$

Multiply 0.26146722824297451 and -0.08715574274765824 to get -0.0227883704816879273919570345114624.

$$-0.0227883704816879273919570345114624-3\left(-0.9961946980917455\right)\left(-0.9961946980917455\right)+5\left(-0.46630765815499864\right)\times 2.1445069205095595$$

Multiply 3 and -0.9961946980917455 to get -2.9885840942752365.

$$-0.0227883704816879273919570345114624-\left(-2.9885840942752365\left(-0.9961946980917455\right)\right)+5\left(-0.46630765815499864\right)\times 2.1445069205095595$$

Multiply -2.9885840942752365 and -0.9961946980917455 to get 2.97721162951831189601740571031075.

$$-0.0227883704816879273919570345114624-2.97721162951831189601740571031075+5\left(-0.46630765815499864\right)\times 2.1445069205095595$$

Subtract 2.97721162951831189601740571031075 from -0.0227883704816879273919570345114624 to get -2.9999999999999998234093627448222124.

$$-2.9999999999999998234093627448222124+5\left(-0.46630765815499864\right)\times 2.1445069205095595$$

Multiply 5 and -0.46630765815499864 to get -2.3315382907749932.

$$-2.9999999999999998234093627448222124-2.3315382907749932\times 2.1445069205095595$$

Multiply -2.3315382907749932 and 2.1445069205095595 to get -5.0000000000000025660311041474954.

$$-2.9999999999999998234093627448222124-5.0000000000000025660311041474954$$

Subtract 5.0000000000000025660311041474954 from -2.9999999999999998234093627448222124 to get -8.0000000000000023894404668923176124.

$$-8.0000000000000023894404668923176124$$