Kinzieee1607 Kinzieee1607
  • 21-10-2019
  • Mathematics
contestada

If sin(theta°) = 0.5, and we know that cos (theta°) < 0, then what is the smallest possible positive value of theta?

Respuesta :

rani01654 rani01654
  • 25-10-2019

Answer:

150°

Step-by-step explanation:

It is given that CosФ < 0 i.e CosФ is negative.

Therefore, the minimum the value of Ф for which CosФ <0 will be in the second quadrant i.e 90° < Ф < 180°.

Now it is also given that, Sin Ф =0.5 {the value of SinФ is positive because Sin value is positive in second quadrant.}

⇒ Ф =180° - Sin⁻¹ (0.5) = 180°-30° =150° (Answer)

Answer Link

Otras preguntas

3 over 4 n minus 18 equals 1 over 4 n minus 4 Solve
What would Joyce's mortgage be on a house that sells for $129,500 with 20% down
a characteristic necessary to give a physical object movement?
There are many kinds of organisms in Kingdom Protista. Which of these organisms is in Kingdom Protista? A. seaweed B. virus C. bacteria D. fungi
About 70% of the water consumed worldwide is for agriculture. a. True b. False
How do we know that heat is transferred from the sun to earth by radiations?
Which describes what the Missouri Compromise (Compromise of 1820) and the Compromise of 1850 had in common? A. They both attempted to preserve the Union.
Given the equation Square root of 8x plus 1 = 5, solve for x and identify if it is an extraneous solution.
Any individual can become an expert in anything. a. True b. False
What is 14 divided by 396.2 ??