Activity poge alo Calculate correct to two decimal places a) \( \cos 29^{\circ} \times \sec 29^{\circ} \) a) \( \cot 79^{\circ}+\cos 10^{\circ} \) c) \( \operatorname{cosec} 40^{\circ}+\operatorname{cosec} 10^{\circ} \) 1) \( \sec 90^{\circ} \) e) \( \frac{1}{\sec 60} \) \( =\cot ^{2} 30^{\circ}+1 \) g) \( \frac{3 \cot 30^{\circ}}{2 \operatorname{cosec} 30^{\circ}} \) a) \( \sec ^{2} 55^{\circ}-\tan ^{2} 55^{\circ} \)
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Beyond the Answer
Did you know that the trigonometric functions we use today date back to ancient civilizations? The Egyptians and Babylonians were already using the concepts of triangles and angles for practical purposes like architecture and astronomy long before the formal establishment of trigonometry as a mathematical field! Trigonometry started evolving around 300 BC in ancient Greece, and its name derives from the Greek words for "triangle" and "measure." In the real world, trigonometric functions are widely used in various fields such as engineering, physics, computer graphics, and even music. For instance, wave functions in physics describe sound and light waves, and they heavily rely on sine and cosine functions. Engineers use trigonometry to determine structural loads, angles, and distances when building bridges, buildings, and more! So next time you're computing angles, remember that you're part of a long history of mathematical exploration.
