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Prove the following extension of Moreley's theorem.
Consider ∆ABC.
Let adjacent trisectors of external angles B and C meet at P.
Let adjacent trisectors of external angles C and A meet at Q.
Let adjacent trisectors of external angles A and B meet at R.
Prove that ∆PQR is equilateral.
In ∆ABC, A = 20, B = 80, C = 80. D lies on AC such that angle DBC = 70. E lies on AB such that ECB = 50. Using Trigonometric Version of Ceva's Theorem deduce that angle BDE = 10. All measures are in degree.
suppose you have been to measure the height of the local water tower.Climbing makes you dizzy, so you decide to do the whole job level. From a point 47.3 meters from the base of the tower, you find that you must look up at an angle of 53 degrees to see the tower. How tall is the tower? draw the angle
Find all the values of θ between 0 and 2π for which cos θ/2 = √(1+sin⁡θ ) - √(1- sin⁡θ ) is true.
given: sinƟ = 4/5 cosΦ =12/13 find sin (Ɵ + Φ)
given: sinƟ = 4/5 cosΦ = 12/13 find sin (Ɵ + Φ)
Show that it is an identity by transforming the side of each one into the right side.
1.-sin/csc=cos^2
Find the value of cos30.0

0.8599
0.9833
0.8581
0.5
Find the value of cos40.70

0.7581
0.3421
0.6347
0.1583
At what quadrant is 62^0

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