• Math

  Trigonometry

  Posted by Dikshu Tak on March 22, 2024 at 10:21 am

  What is the value of sin(θ) if cos(θ) = 0.8?

  Prateek replied 11 months, 2 weeks ago 2 Members · 1 Reply

  • @mathematics
  • Trigonometry
• 1 Reply

• 

  Prateek

  Member

  March 27, 2024 at 3:53 pm

  To find the value of sin(θ) when cos(θ) = 0.8, we can use the trigonometric identity:

  sin²(θ) + cos²(θ) = 1

  We know that cos(θ) = 0.8, so we can substitute this value into the equation:

  sin²(θ) + (0.8)² = 1

  sin²(θ) + 0.64 = 1

  sin²(θ) = 1 – 0.64

  sin²(θ) = 0.36

  Taking the square root of both sides:

  sin(θ) = ±√0.36

  sin(θ) = ±0.6

  Therefore, when cos(θ) = 0.8, the value of sin(θ) can be either +0.6 or -0.6.

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