Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Prove cos^2 t+4cos t+4/cos t+2=2sec t+1/sec t

Sagot :

loneguy

[tex]\text{L.H.S}\\\\=\dfrac{\cos^2 t +4\cos t +4}{\cos t +2 }\\\\\\=\dfrac{(\cos t)^2 + 2\cdot 2\cos t+2^2}{\cos t +2}\\\\\\=\dfrac{(\cos t +2)^2 }{\cos t +2}\\\\\\=\cos t +2\\\\\\=\dfrac 1{\sec t} +2\\\\\\=\dfrac{2\sec t +1}{\sec t}\\\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.