Problems 19.28, find the exact value of each expression. Do not use sin 38 degre

Question

Problems 19.28, find the exact value of each expression. Do not use sin 38 degree - cos 52degree tan 12degree - cot 78degree 1 - cos^2 20degree - cos^2 70degree 1 + tan^2 5degree - csc^2 85degree cos 35degree sin 55degree + sin 35degree cos 55degree 29-42, use the right triangle shown below. Then, using the b = 5, B = 20degree; find a, c, and A a = 6, 5 = 40degree; find b, c, and A b = 4, A = 10degree; find a, c, and B 1 = 5, A = 25degree; find b, c, and B c = 9, B = 20degree; find b, a, and A t = 5, b = 3. find c, A, and B a = 2, c = 5; find b, A, and B Geometry The hypotenuse of a right triangle is 5 inches. If leg is 2 inches, find the degree measure of each angle. hypotenuse of a right triangle is 3 feet. foot, find the degree measure of each angle.

Explanation / Answer

Solution:

Since triangle is right triangle

and we know that

sum of all internal angle of triangle = 180

A + B + 90 = 180

It is given that B = 40

A + 40 +90 = 180

A = 180 -40-90

A = 50

Now

In right triangle

Height = b

base = a = 6

and hypoteneous = c

Now

tan (B) = height/Base =b /6

b = 6 * tan(B) = 6*tan(40) = 5.03

b = 5.03

Now

Sin(B) = height/hypoteneous = b /c

Sin(B) = 5.03/c

SIn(40) = 5.03 /c

c = 5.03/0.64 = 7.82

c = 7.82

Answer : A = 50 , b = 5.03 and c = 7.82

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