Answer:
Step-by-step explanation:
Hint: 1- 2sin²x = Cos 2x
LHS = 1 - 2Sin² (π/4 - Ф/2)
= Cos 2 *(π/4 - Ф/2)
= Cos 2*π/4 - 2*Ф/2
= Cos π/2 - Ф
= Sin Ф = RHS
5 * 6 = 30
90/3 = 30
5 * 6 = 90/3 = 30
In this question, it is given that An inverse trigonometric function is used to find the value of an unknown obtuse angle in a triangle. The inverse function returns the angle 68°.
Since the angle is obtuse angle, it means the measurement of the angle is greater then 90 degree. And to find the angle measurement, we have to subtract the given angle from 180 degree.
So the unknown angle is
And that's the required answer .
Answer:
AC = 8√3 AC = 7.65
A = 43.17° AB = 16.8
B = 46.83° B = 27°
Step-by-step explanation:
FIRST TRIANGLE
by using pythagorus theorem:
Hypo² = Base² + height²
19² = 13² + AC²
AC² = 19² - 13²
AC² = 192
AC = √192
AC = 8√3
sinФ =base/hypo
sin A = 13/19
A = sin^-1 (13/19)
A = 43.17°
43.17°+ B + 90° =180 (sum of angles of triangle)
B = 180° - 133.17°
= 46.83°
<h3>SECOND TRIANGLE</h3>
TanФ = base/height
Tan 63° = 15 / AC
1.96 = 15/AC
AC = 15/1.96
AC = 7.65
AB² = AC² + BC²
AB² = 7.65² + 15²
AB² = 283.5
AB = √283.5
AB = 16.8
tan B = AC /BC
tanФ = 7.65/15
tanФ = 0.51
Ф = tan^-1(0.51)
B = 27°
Answer:
2 haha
Step-by-step explanation:
