Question

1. \\( \sin (-5)+5= \\)
2. \\( \cos (-28)-1= \\)
3. \\( \tan (25) \cdot 3= \\)

Explanation:

Step1: Calculate \(\sin(-5)+5\)

We know that \(\sin(-x)=-\sin x\). But here \(x = 5\) (in radians). Using a calculator, \(\sin(5)\approx - 0.9589\). Then \(\sin(-5)+5=- \sin(5)+5\approx-(- 0.9589)+5 = 0.9589 + 5=5.9589\approx5.96\)

Step2: Calculate \(\cos(-28)-1\)

Since \(\cos(-x)=\cos x\), for \(x = 28\) (in radians), \(\cos(28)\approx0.9370\). Then \(\cos(-28)-1=\cos(28)-1\approx0.9370 - 1=-0.063\)

Step3: Calculate \(\tan(25)\cdot3\)

Here \(25\) is in radians. \(\tan(25)\approx-0.1335\). Then \(\tan(25)\cdot3\approx(-0.1335)\times3=-0.4005\approx - 0.40\)

Answer:

1. \(5.96\)
2. \(-0.063\)
3. \(-0.40\)