Math, asked by amaira1410, 1 year ago

if sinA +Sin square A =1, then find the value of cos square A + cos power 4 A

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Answered by Ashishkumar098
39
ᴇʟʟᴏ!!

ʜᴇʀᴇ's ʏᴏᴜʀ ᴀɴsᴡᴇʀ

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ɢɪᴠᴇɴ , sɪɴ ᴀ + sɪɴ^2 ᴀ = 1

ᴛᴏ ғɪɴᴅ ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ ᴄᴏs^2 ᴀ + ᴄᴏs^4 ᴀ

ɴᴏᴡ , 

sɪɴ ᴀ + sɪɴ^2 ᴀ = 1

=> sɪɴ ᴀ  = 1 - sɪɴ^2 ᴀ

=> sɪɴ ᴀ = ᴄᴏs^2 ᴀ

=> ( sɪɴ ᴀ )^2 = ( ᴄᴏs^2 ᴀ )^2

=> sɪɴ^2 ᴀ = ᴄᴏs^4 ᴀ

=> 1 - ᴄᴏs^2 ᴀ = ᴄᴏs^4 ᴀ

=> - ᴄᴏs^2 ᴀ - ᴄᴏs^4 ᴀ = - 1

=> - ( ᴄᴏs^2 ᴀ + ᴄᴏs^4 ᴀ ) = - 1

=> ᴄᴏs^2 ᴀ + ᴄᴏs^4 ᴀ = 1

sᴏ , ᴛʜᴇ ᴠᴀʟᴜᴇ ᴏғ ( ᴄᴏs^2 ᴀ + ᴄᴏs^4 ᴀ ) ɪs 1 

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ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs ʏᴏᴜ ᴅᴇᴀʀ!

★ ᴅᴇᴠɪʟ ᴋɪɴɢ
Answered by raveena1823
13

Here is the answer mate!!

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