Question

Sin 16°+cos 16°tg37º.​

Answer 1

Ответ:

1

Объяснение:

$sin16^o+cos16^otg37^o=\dfrac{cos37^osin16^o+cos16^osin37^o}{cos37^o}=\dfrac{sin(16^o+37^o)}{cos37^o}=\dfrac{sin53^o}{cos37^o}=\dfrac{cos(90^o-53^o)}{cos37^o}=\dfrac{cos37^o}{cos37^o}=1$

Answer 2

To evaluate the expression sin(16°) + cos(16°) * tan(37°), we'll break it down step by step:

1. Convert all angles from degrees to radians since trigonometric functions in most programming languages operate on radians.

   16° in radians: (16° × π) / 180 ≈ 0.2793 radians 37° in radians: (37° × π) / 180 ≈ 0.6458 radians

2. Calculate the values of sin(0.2793), cos(0.2793), and tan(0.6458).

   sin(0.2793) ≈ 0.2756 cos(0.2793) ≈ 0.9613 tan(0.6458) ≈ 0.7270

3. Substitute the calculated values back into the expression.

   sin(16°) + cos(16°) * tan(37°) ≈ 0.2756 + 0.9613 * 0.7270 ≈ 0.2756 + 0.7009 ≈ 0.9765

Therefore, sin(16°) + cos(16°) * tan(37°) is approximately equal to 0.9765.