Question

ᴇᴠᴀʟᴜᴀᴛᴇ:


ꜱɪɴ² 63° + ꜱɪɴ² 27°
__________________
ᴄᴏꜱ² 17° + ᴄᴏꜱ² 73°

ɴᴏᴛᴇ:- ᴅᴏɴ'ᴛ ꜱᴘᴀᴍ ʜᴇʀᴇ​

Answer 1

Answer:

Given,

cos 2 17+cos 2 73sin 2 63+sin 2 27

=

cos 2 (17)+(cos(90−17)) 2 sin 2 63+(sin(90−63)) 2

As we know

90−63=27

90−17=73

from (sin(90−63)=cos63, cos(90−17)=sin17,

Now,

cos 2 17+cos 2 73sin 2 63+sin 2 27

= cos 2 (17)+(cos(90−17)) 2

sin 2 63+(sin(90−63)) 2

= cos 2 17+sin 2 17sin 2 63+cos 2 63

= 11 =1 ∵sin 2 A+cos 2 A=1

Step-by-step explanation:

Hope it will help