Solve by substitution
2 answers:
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The values of sin (x/2) = 4/√17, cos (x/2) = 1/√17 and tan (x/2) = 4.
<h3>What is Trigonometry?</h3>Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.
Here, cos x = -15/17 (given)
we know, cos x = 2cos²x/2 - 1
cos²(x/2) = (cos x + 1)/2
cos²(x/2) = (-15/17 + 1)/2
cos²(x/2) = 1/17
cos (x/2) = 1/√17
then, sin (x/2) = √(1- cos²(x/2))
sin (x/2) = √(1 - 1/17)
sin (x/2) = √16/17
sin (x/2) = 4/√17
and tan (x/2) = sin (x/2) / cos (x/2)
tan (x/2) =
tan (x/2) = 4
Thus, the values of sin (x/2) = 4/√17, cos (x/2) = 1/√17 and tan (x/2) = 4.
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Answer:
f = 10, g = 4.8 cm
Step-by-step explanation:
Area of ABCE = 60 cm²
Area of ABCD = 48 cm²
So,
Area of ADE = 60-48
=> 12 cm²
Area of ADE =
<u><em>Where Area = 12 cm², Base = 4 cm</em></u>
12 =
Height = 12-2
Height = 10 cm
Where Height is AD
So, AD = 10 cm
Also, <u><em>AD is parallel and equal to BC</em></u><u><em></em></u>
So,
f = 10 cm
<u><em>Now, Finding g</em></u>
Area of ABCD =
<u><em>Where Area = 48 cm², Base = 10 cm</em></u>
48 = 10 * Height
Height = 48/10
Height = 4.8 cm
Whereas, Height is g
So, g = 4.8 cm