Question

alpha + beta =90degrees and alpha=2 beta then sin alpha is​

Answer 1

$▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀$

➪Given, α+β=90∘

and α=2β

➪2β+β=90∘

➪3β=90∘

➪β=30∘

but α+β=90∘

∴α+30 ∘ =90∘

∴α=60∘

➪cos²α+sin²β=cos²60∘+sin²30∘

➪(½)² + (½)² = (½)

$▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀▀$

✰ᴛʜɪs ᴍᴀʏ ʏᴏᴜʀ ᴀᴄᴄᴜʀᴀᴛᴇ ᴀɴsᴡᴇʀ✔︎

Answer 2

Answer:

√3/2

Step-by-step explanation:

a+b = 90°

a = 2b

b=30°

a=60°

sin a = √3/2