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Home Question Bank Math Trigonometry Archive 2025 January 18

Trigonometry Questions from Jan 18,2025

Browse the Trigonometry Q&A Archive for Jan 18,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Find \( \arctan \left(\tan 3^{*}\right. \) pi / 4) Find \( \arctan \left(\tan 2^{*}\right. \) pi / 3) 5: Find \( \arctan \left(\tan 3^{*}\right. \) pi / 4) 5: Find \( \arctan \left(\tan 2^{*}\right. \) pi / 3) Find \( \arctan \left(\tan 3^{*}\right. \) pi / 4) Find \( \arctan \left(\tan 2^{*}\right. \) pi / 3) Find \( \arctan \left(\tan 3^{*}\right. \) pi / 4) \( : \) Find \( \arctan \left(\tan 2^{*}\right. \) pi / 3\( ) \) Find \( \arccos (\cos 2 * \) pi / 3) Find \( \arccos (\cos (-\mathrm{pi} / 3)) \) Find \( \arcsin (\sin (-\mathrm{pi} / 3)) \) Find \( \arcsin \left(\sin \left(5^{*} \mathrm{pi} / 3\right)\right) \) Find \( \arccos \left(\cos 2^{*} \mathrm{pi} / 3\right) \) (b) If the slope of the straight line \( y+a x+b=0 \) is -3 and passes through ( 1,4 ). then \( \mathrm{a}+\mathrm{b}= \) \( \qquad \) \[ (7,-7,4,-4) \] (C) If \( \frac{-3}{2}, \frac{6}{m} \) are slopes of two parallel straight lines, then \( \mathrm{m}= \) \( \qquad \) \[ (4,6,-4,2) \] If \( A, B \) are two supplementary angles and \( m(\angle A)=m(\angle B) \), then \( m(\angle B)= \) \( \qquad \) \[ (180,90,45,30) \] . If a straight line is parallel to \( y \)-axis and passes through points \( C(k, 4), D(-5,7) \). then \( \mathrm{k}= \) \( \qquad \) \[ (6,3,5,-5) \] (4) The slope of the straight line which makes an angle of measure \( 45^{\circ} \) with the positive direction of X-axis is \( \qquad \) \[ (1,2,0.5,3 \] 9 If \( \sin 2 x=0.5 \), where \( x \) is the measure of an acute angle, then \( x= \) \( \qquad \) . \[ (15,20,60 \] 5i. If \( A B C \) is a right-angled triangle at \( B \) and \( \sin A=\frac{1}{2} \), then \( \cos C= \) \( \qquad \) \[ \left(1, \frac{1}{2}, \frac{\sqrt{3}}{2}\right. \] Choose the correct answer: If \( \tan (2 x-5)=1 \) where \( x \) is the measure of an acute angle, then \( x= \) \( \left(25^{\circ}, 35^{\circ}, 45^{\circ}, 55^{\circ}\right) \) Demuestra la siguiente identidod: \( \operatorname{sen}^{6}+\cos ^{6} x=1-\frac{3}{4} \operatorname{sen}^{2} 2 x \)
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