WebGeometry questions and answers. Consider the lines (a) Find the acute angle between l and m using the formula tan theta=m2-m1/1+m1m2 (b) If a point is reflected in line l, then in line m, What is the center and angle of rotation (sm st ) that results? (e) Identify the rotation. WebIf tan θ+ sin θ = m and tan θ sin θ = n, prove that m2 n2 2= 16 mn. Byju's Answer Standard X Mathematics Trigonometric Identities If tan θ+ sin... Question If (tanθ+sinθ) =m and (tanθ−sinθ)= n, prove that (m2−n2)2 = 16mn. Solution
If `theta` is the acute angle between the lines with slopes m1 and m2
WebSep 8, 2024 · tan θ = ± m 1 − m 2 1 + m 1 m 2 θ = ± arctan ( m 1 − m 2 1 + m 1 m 2) In LHS, only positive values of θ can be inputted. Now, according to my book and this derivation, the ± has been included to include both the acute and obtuse angles between the straight lines. WebJan 16, 2005 · The first part of the question asks to find the minimum coefficient friction, so that the ladder does not slip, which I found was 0.5*L*m_2*g+m_1*g*d)/ (L*tan (theta)* (m_2*g+m_1*g)) Then, part B of the question is to find the magnitude of the force of friction that the floor applies to the ladder. The coefficient of the static friction force ... free 6000 games online no downloads
If l1,m1,n1 and l2,m2,n2 are the d.c.s of the two lines, then (l1l2 ...
WebApr 8, 2024 · m1 and m2 can be calculated by substituting this in the above formula then the values of m1 and m2 can be substituted in the formula given. tan θ = ± (m₁ - m₂ ) / (1- m₁*m₂) 2. If the Lines are Parallel. (image will be uploaded soon) The two lines are parallel means, the angle between them is zero Ɵ = 0°. i.e tan Ɵ =0. WebIf sec θ + tan θ = m, show that m 2 - 1 m 2 + 1 = sin θ Advertisement Remove all ads Solution m 2 - 1 m 2 + 1 ⇒ ( sec θ + tan θ) 2 - ( sec 2 θ - tan 2 θ) ( sec θ + tan θ) 2 + ( sec 2 θ - tan 2 θ) ⇒ sec 2 θ + tan 2 θ + 2 sec θ tan θ - sec 2 θ + tan 2 θ sec 2 … WebMar 25, 2024 · 1 cos θ + sin θ cos θ = m 1 + sin θ cos θ = m 1 + sin θ = m cos θ. Now, on squaring both the side of the equation, we get the following result. ( 1 + sin θ) 2 = m 2 cos 2 θ. Now, we can use the trigonometric equation which is given in the hint to get the … blisspop shop