Question

Tg97°×ctg197°×cos297°

Answer 1

Tg97° = -0.410321
Ctg197° = -0.760929
Cos297° = -0.11921 ⇒
-0.410321*(-0.760929)* (-0.11921) = -0.03722

Answer 2

To solve this expression, we can first convert the tangent and cotangent functions into sine and cosine functions:

tg(97°) = sin(97°)/cos(97°) ctg(197°) = cos(197°)/sin(197°)

Substituting these values in the original expression, we get:

tg(97°) × ctg(197°) × cos(297°)

= (sin(97°)/cos(97°)) × (cos(197°)/sin(197°)) × cos(297°)

= (sin(97°) × cos(197°) × cos(297°)) / (cos(97°) × sin(197°))

Now, we can use trigonometric identities to simplify the numerator and denominator separately:

sin(97°) × cos(197°) × cos(297°) = (1/2)[sin(294°) + sin(100°)] × (cos(297°) + cos(103°))

cos(97°) × sin(197°) = (1/2)[sin(294°) - sin(100°)]

Substituting these values back into the original expression and simplifying, we get:

tg(97°) × ctg(197°) × cos(297°)

= [(1/2)[sin(294°) + sin(100°)] × (cos(297°) + cos(103°))] / [(1/2)[sin(294°) - sin(100°)]]

= (sin(294°) × cos(297°) + sin(100°) × cos(103°)) / (sin(294°) - sin(100°))

= (sin(6°) + sin(13°)) / (sin(6°) - sin(13°))

≈ 2.274

Therefore, tg(97°) × ctg(197°) × cos(297°) ≈ 2.274.