B Solving Simultaneous equations with cos() and sin()

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To solve simultaneous equations involving sine and cosine, start by squaring both sides of the equations. Then, apply the identity sin²θ + cos²θ = 1 to simplify the expressions. This approach allows for the extraction of V sinθ and V cosθ terms. The discussion emphasizes the importance of using trigonometric identities for solving such equations. Following these steps leads to a successful resolution of the problem.
Micheal_Leo
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Hello

I have two equations given below and answer is also given solve by simultaneously

i am not sure how this happen

please guide thank you


微信图片_20231030135934.jpg
 
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Use the identity
\sin^2\theta_s+\cos^2\theta_s=1
 
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anuttarasammyak said:
Use the identity
\sin^2\theta_s+\cos^2\theta_s=1
thank you for reply , first have to take square on both sides of equation 1 and 2 than use identity ?
 
Get
V sin\theta_s, V cos\theta_s
exlpcit and use the identity.
 
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anuttarasammyak said:
Get
V sin\theta_s, V cos\theta_s
exlpcit and use the identity.
thank you very much perfectly got it
 
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