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Home Question Bank Math Trigonometry Archive 2025 January 07

Trigonometry Questions from Jan 07,2025

Browse the Trigonometry Q&A Archive for Jan 07,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Se o ângulo A é igual a 30 graus e o comprimento do cateto oposto ao ângulo A é 5, qual é o comprimento do cateto adjacente usando a definição de tangente? In a right triangle where one angle measures 30 degrees, how do you express the secant of that angle? in \( 28^{\circ}=a \) and \( \cos 32^{\circ}=b \), determine the following in terms of a and/or \( 1 \cos 28^{\circ} \) \( 2 \cos 64^{*} \) QUESTION 6 Simplify the following expressions without using a calculator. \( 6.1 \quad \frac{\sin 210^{\circ} \cos 300^{\circ} \tan 240^{\circ}}{\cos 120^{\circ} \tan 150^{\circ} \sin 330^{\circ}} \) \( 6.2 \quad[\sin (-\theta)+\cos (360-\theta)]\left[\cos (90-\theta)+\frac{\sin \theta}{\tan \theta}\right] \) \( 6.3 \quad \) If \( \tan x=m+\frac{1}{m}, 90^{\circ} \leq x \leq 270^{\circ} \) and \( m^{2}+\frac{1}{m^{2}}=1 \) Calculate the value of \( x \) without the use of a calculator. Robert leans a \( 20- \) foot ladder against a wall. If the ladder reaches 19.2 feet up the wall, what angle does form with the wall? Round your answer to the nearest tenth of a degree. b) En déduire son cosinus et son sinus. 4) Calculer \( |-\mathbf{5}+\boldsymbol{\pi}|-|\mathbf{3}-\sqrt{2}| \) 5) Soient \( A \) et \( B \) deux évènements de l'univers tels que \( \boldsymbol{P}(\boldsymbol{A})=\mathbf{0}, \mathbf{3 1} ; \boldsymbol{P}_{\Delta}(\boldsymbol{B})=\mathbf{0 , 0 2} \) QUESTION 6 Simplify the following expressions without using a calculator. \( 6.1 \quad \frac{\sin 210^{\circ} \cos 300^{\circ} \tan 240^{\circ}}{\cos 120^{\circ} \tan 150^{\circ} \sin 330^{\circ}} \) \( 6.2 \quad[\sin (-\theta)+\cos (360-\theta)]\left[\cos (90-\theta)+\frac{\sin \theta}{\tan \theta}\right] \) \( 6.3 \quad \) If \( \tan x=m+\frac{1}{m}, 90^{\circ} \leq x \leq 270^{\circ} \) and \( m^{2}+\frac{1}{m^{2}}=1 \) Calculate the value of \( x \) without the use of a calculator. Exercice 4: Soit \( A B C \) un triangle rectangle en \( C \) tel que \( C B=3 \mathrm{~cm} \) et \( A B=7 \mathrm{~cm} \). 1. Construis ce triangle. 2. Donne lhypoténuse et les côtes adjacents en précisant l'angle. 3. Calcule la valeur approchée de la longueur AC. La Trigonométrie QUESTION. [12] Simptify the fallowing exprescions wubour uiang a calculator. \( 6.1 \frac{\sin 210^{\circ} \cos 300^{\circ} \tan 240^{\circ}}{\cos 120^{\circ} \tan 150^{\circ} \sin 330^{\circ}} \) 62 \( [\sin (-\theta)+\cos (3 \theta)-\theta)]\left[\cos (\theta \theta-\theta)+\frac{\sin \theta}{\cos \theta}\right] \) (8) 63 If \( \tan x=m+\frac{1}{m}, 90^{\circ} \leq x \leq 270^{\circ} \) and \( x^{2}+\frac{1}{m^{2}}=1 \) Calculate the value of r witheur the ese of a calcubtar. [18] Prove that \( \frac{1+\sin \theta}{1-\sin \theta}=(\sec \theta+\tan \theta)^{2} \)
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