If 15 sin theta = 8 . then find value of cos theta and tan theta
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Step-by-step explanation:
this is known as triangle method
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The value of cos θ and tan θ is 0.845 and 0.630.
Explanation:
Given: 15 sin θ = 8, cos θ and tan θ = ?
sin θ =
According to the Pythagoras theorem, sin θ = , cos θ = , tan θ =
Applying the Pythagoras theorem, h² = a² + b²
⇒ 15² = a² + 8²
⇒ a² = 15² - 8²
⇒ a² = 161
a = 12.68 (adjacent side)
Cos θ =
Cos θ = 0.845
Tan θ =
Tan θ = 0.630
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