In any triangle abc if cosa sinb2sinc then
WebQ.6164/ph-3 If in a ABC, cosA·cosB + sinA sinB sin2C = 1 then, the statement which is incorrect, is (A) ABC is isosceles but not right angled (B) ABC is acute angled (C*) ABC is right angled (D) least angle of the triangle is 4 1 cos A cos B 3 [Hint : sin 2C = 1 . WebGeometrically, if and only if these two unit vector coincides. This in turn implies and . By sine law, the two sides opposites to angle , have equal length. So the triangle is an right angled isosceles triangle and . Alternatively, one can use the identity to conclude and hence . Share Cite Follow edited Aug 17, 2013 at 9:52
In any triangle abc if cosa sinb2sinc then
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WebFeb 10, 2024 · In any triangle ABC, prove that sin2A + sin2B – sin2C = 4cosA cosBsinC. class-12 Share It On Facebook Twitter 1 Answer +1 vote answered Feb 10, 2024 by Beepin (59.2k points) selected Feb 11, 2024 by KumkumBharti Best answer LHS = sin 2a + sin 2B – sin 2C = 2sin (A + B) cos (A – B) – 2 sin C cos C {A + B + C = 180° A + B = 180 – c} WebAnswer (1 of 3): That’s not true as written. I’ll assume we’re to show if ABC is a triangle, then \cos(A+B) = -\cos C The main trig fact we’ll need is that the cosine of supplementary …
Webi) In any triangle ABC, by angle sum property, WebIn ∆ABC, if cos A = sinB2sinC, then ∆ABC is - Mathematics and Statistics Shaalaa.com.
WebIn Triangle ABC, CosA /a = CosB / b = Cos C / c and the side a = 2. find the area of the triangle. In Triangle ABC, CosA /a = CosB / b = Cos C / c and the side a = 2. find the area of the triangle. Anushka Prasad, 11 years ago Grade:9. × FOLLOW QUESTION We will notify on your mail & mobile when someone answers this question. ... WebIf $\sin^2 A= \sin^2 B+\sin^2 C$, then the triangle is : 2 If $\frac{\sin^2 A + \sin^2 B + \sin^2 C}{\cos^2 A + \cos^2 B + \cos^2 C}=2$ , then $\triangle ABC$ is a right triangle
A + B = 180° - C ii) Applying tan (A + B) = tan (180° - C), we get tan (A) + tan (B) + tan (C) = tan (A)*tan (B)*tan (C) iii) As given tan (A) + tan (B) + tan (C) = 100; from the above, we have tan (A)*tan (B)*tan (C) is also = 100
WebJul 12, 2024 · 211 views 1 year ago Solution of Triangles Class 11th. if cosa=sinb/2sinc then triangle is If cosA = sinB/ (2sinC) , prove that ABC is isosceles. if cosa=sinb/2sinc then triangle is If cosA = sinB... flamingo land historyWebParts of a triangle. All triangles are made up of three sides and three angles. The point at which two sides of a triangle meet is referred to as a vertex. Triangles are commonly … can private hospitals refuse serviceWebSep 7, 2014 · In triangle ABC: if cosA/b = cosB/a proof that the triangle either right angle triangle or isosceles triangle. ... We multiply a 2 b 2 at each side (because neither a nor b … flamingo land limitedWeband sides are called six elements of the triangle. Prove that in any triangle, the lengths of the sides are proportional to the sines of the angles opposite to the sides, i.e. a b c sinA sinB sinC Proof : In ' ABC, in Fig. 5.1 [(i), (ii) and (iii)], BC = a, CA = b and AB = c and C is acute angle in (i), right angle in (ii) and obtuse angle in ... can private investors invest in gam\u0027s arbfWebIf the circumcenter of the triangle $ABC$ is on the incircle of the triangle,then prove that $\cos A+\cos B+\cos C=\sqrt2$ 3 If in a triangle $ABC$,$1=2\cos A\cos B\cos C+\cos … can private high schools recruit athletesWebIn a A B C, if cos A cos B cos C = √ 3 − 1 8 and sin A sin B sin C = 3 + √ 3 8, then the angles of the triangle are. A. 45 ... The angles of the triangle formed by joining the mid – points of the sides of this triangles are: ... Q. In a triangle ABC, if AB = 2x - 1, ... can private insurance companies deny coverageWebIf A,B,C are the angles of a given triangle ABC . If cosA.cosB.cosC=` (sqrt3-1)/8` and sinA.sinB.sinC=` (3+sqrt3)/8`The cubic equation whose roots are `tanA, tanB, tanC` is (A) … can private investigator hack cell phone