Question

cos25° = t, Find sin 205° in term of t​

Answer 1

Answer:

sorry I don't know this answer

Answer 2

The value of Sin 205° = √(1+t²)

Given:

Cos 25° = t

To find:

Sin 205° in term of t​

Solution:

Now we will find Cos 205° from Cos 25° = t  

⇒ Cos (180+25)°

= - Cos 25°

= - t

⇒ Cos 205° = -t

As we know from trigonometric identities  Sin²θ+ Cos²θ = 1

⇒ Sin²205° + Cos²205° = 1

⇒ Sin²205° = 1 - Cos²205°

⇒ Sin²205° = 1 - (-t)²

⇒ Sin²205° = 1 + t²

⇒ Sin 205° = $\sqrt{1+t^{2} }$  

Therefore, the value of Sin 205° = √(1+t²).

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