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Home Question Bank Math Trigonometry Archive 2024 November 02

Trigonometry Questions from Nov 02,2024

Browse the Trigonometry Q&A Archive for Nov 02,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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You are standing 200 meters away from the base of a building. The angle of elevation to the top of the building is \( 29^{\circ} \). What is the height of the building? The building is meters high (round your answer to three decimal places) Verify the identity. \( \begin{array}{l}\frac{1+\sin t}{1-\sin t}=(\sec t+\tan t)^{2} \\ \text { To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step. } \\ \text { (sect + } \tan t)^{2} \\ =\square\end{array} \) A billboard at the top of a building is being illuminated by a projection light \( (\mathrm{L}) \) that is 102 feet from the base of the building as shown in the figure. Determine how tall the billboard if its lower and the upper ends makes angles of \( 36^{\circ} \) and \( 46^{\circ} \) with the horizontal line from the projection light. Also find the area of the triangle illuminated by the project light. Sketch the graph of \( y=\operatorname{cosec} x ;-180^{\circ} \leq x \leq 180^{\circ} \) \( \frac { \operatorname { cosec } ( 180 - B ) \times \tan ( 180 + B ) \times \cos ^ { 2 } ( 180 + B ) } { \cos ( \pi - B ) } - \sin B \) Consider \( f(x)=\sin \left(2 \theta-15^{\circ}\right) \cdot \cos \left(\theta-30^{\circ}\right)+\cos \left(2 \theta-15^{\circ}\right) \cdot \sin \left(\theta-30^{\circ}\right) \) Determine the general solution of \( f(x)=0,8 \) Resuelve los siguientes triángulos rectángulos: \( \begin{array}{rl}\text { a. } a=12 \mathrm{~cm} & a=30^{\circ} \\ \text { b. } a=30^{\circ} & c=20 \mathrm{~cm} \\ \text { c. } \beta=20^{\circ} 30^{\circ} & b=15 \mathrm{~cm} \\ \text { d. } a=15 \mathrm{~cm} & b=13 \mathrm{~cm}\end{array} \) Prove that \( \cos \left(90^{\circ}-2 x\right) \tan \left(180^{\circ}+x\right)+\sin ^{2}\left(360^{\circ}-x\right)=3 \sin ^{2} x \) If \( \sin 33^{\circ}=p \), determine the following in terms of \( p \); a) \( \cos 33^{\circ} \) For \( 0<\theta<\frac{\pi}{2} \), find the values of the trigonometric functions based on the given one (give your answers with THREE DECIMAL PLACES or as expressions, e.g. you can enter \( 3 / 5 \) ). If \( \sin (\theta)=\frac{2}{4} \) then \( ` \cos ( \) theta \( )=\square \) Preview , For \( 0<\theta<\frac{\pi}{2} \), find the values of the trigonometric functions based on the given one (give your answers with THREE DECIMAL PLACES or as expressions, e.g. you can enter \( 3 / 5 \) ). If \( \sin (\theta)=\frac{2}{4} \) then \( \ln \cos ( \) theta \( )=\square \) \( \sec (\theta)= \) \( \csc (\theta)= \) \( \tan (\theta)= \) \( \cot (\theta)= \)
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