benjamin9651
benjamin9651 benjamin9651
  • 01-09-2020
  • Mathematics
contestada

Given that sin(90 -5ϴ) = Cos(180 - ϴ), Find the value of ϴ​

Respuesta :

Hrishii
Hrishii Hrishii
  • 01-09-2020

Answer:

30°

Step-by-step explanation:

[tex] \because \: \sin(90 \degree - \theta) = \cos \theta \\ \therefore \: \sin(90 \degree - 5 \theta) = \cos 5\theta....(1) \\ \\ \sin(90 \degree - 5 \theta) = \cos(180 \degree - \theta)...(2) \\ from \: (1) \: and \: (2) \\ \cos 5\theta = \cos(180 \degree - \theta) \\ 5 \theta = 180 \degree - \theta \\ 5 \theta + \theta= 180 \degree \\ 6\theta= 180 \degree \\ \theta = \frac{180 \degree}{6} \\ \\ \huge \red{ \boxed{\theta = 30 \degree}}[/tex]

Answer Link

Otras preguntas

5 Using the formula for the volume of a cone, express r in terms of V, h, and .
write types of pronoun by giving good example​
amanda opened a bank account with an initial $325. She is depositing $52.10 per week into her bank account. Assuming she continues to deposit $52.10 per week. W
Which is not needed in order for a military ID to be considered a valid form of id A) date of birth B) physical description of the holder C) expiration date
who is at first went in universe?
Choose the correct answer: whats the answer?
Which of the following is a true statement regarding latex allergy
What must x equal if g||h? Explain.
What is the size of ABC shown in the above figure
The thick outer line on a pattern piece is the A cutting line. B alteration line. C sewing line. D basting line.