2^3x = 172
3x log 2 = log 172
3x = 7.4263
x = 2.475
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Answer:
2.8+.55x=5 x=4
Step-by-step explanation:
5-2.8=2.2
2.2/.55=4
Given:
The point (9,-12) is on terminal side of angle theta in standard position.
To find:
The exact value of each of the six trigonometric functions of theta.
Solution:
The given point is (9,-12). Here, x-coordinate is positive and y-coordinate is negative. So, the point lies in 4th quadrant and only cos and sec are positive in 4th quadrant.
We know that,





Now,






Therefore, the values of six trigonometric functions of theta are
.
Answer:
Given:
m∠C = 90°, because ∠C is a right angle.
m∠D = 90°, because CD is the height to AB.
m∠A = α
Since the sum of angles in a triangle is 180°, therefore
m∠DBC + 90° + α = 180°
m∠DBC = 90° - α
Again, for the same reason,
m∠DCB + m∠DBC + 90° = 180°
m∠DCB + 90° - α + 90° = 180°
m∠DCB = α
For the same reason,
m∠ACD + 90° + α = 180°
m∠ACD = 90° - α
m∠ADC = 90° (by definition)
m∠CDB = 90° (by definition)
Answer:
m∠DBC = 90° - α
m∠DCB = α
m∠CDB = 90°
m∠ACD = 90° - α
m∠ADC = 90°
Step-by-step explanation: