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Hogar Banco de preguntas Matemáticas Trigonometría Archive 2024 December 03

Trigonometry Questions from Dec 03,2024

Browse the Trigonometry Q&A Archive for Dec 03,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Write the following as a single sine or cosine function of an angle: \( (\sin 7 \theta+\cos 7 \theta)^{2}-1 \) A plane is increasing its elevation at a constant rate of \( 37 \% \). It does this for a distance of 1320 feet, how much does its elevation increase? feet. Note: You can type the trig in the answer box for all these problems. For example if the answer is 50 cos (10), you can just type that into the answer box. To get inverse trig functions type arcsin, arccos or arctan. Write the following as a single sine or cosine function of an angle: \( \frac{\sin 2 \theta}{\cos \theta} \) 2) Write \( \cos ^{2} \frac{x}{2}-\sin ^{2} \frac{x}{2} \) as a single cosine. a) \( \cos \frac{x}{4} \) b) \( \cos x \) c) \( \cos 2 x \) d) \( O \cos 4 x \) 1) Write \( 4 \sin 2 x \cos 2 x \cos 4 x \) as a single sine. a) \( \sin 16 x \) b) \( \sin 2 x \) c) \( \sin 4 x \) d) \( \sin 8 x \) A plane flies a distance of 290 miles at a heading of S52E. How far South does the plane travel? How far East does the plane travel? Note: You can type the trig in the answer box for all these problems. For example if the answer is 50 cos(10), you can just type that into the answer box. To get inverse trig functions type arcsin, arccos or arctan. Use reference angles to find the exact value of the following expression. Do not use a calculator. \[ \begin{array}{l}\sin \left(-300^{\circ}\right) \\ \text { A. } \sin \left(-300^{\circ}\right)=\square \\ \text { (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fr } \\ \text { the denominator.) }\end{array} \] Find the exact value of the following expression: \( 2 \cos ^{2} \frac{\pi}{6}-1 \) Find the exact value of the following expression: \( \sin 45^{\circ} \cos 45^{\circ} \) A 32 - ft ladder leans against a building so that the angle between the ground and the ladder is \( 85^{\circ} \). How high does the ladder reach on the building? Note: You can type the trig in the answer box for all these problems. For example if the answer is \( 50 \cos (10) \), you can just type that into the answer box. To get inverse trig functions type arcsin, arccos or arctan.
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