Question

prove it...

sin²π/6+cos²7π/6 cos²π/4=3/2​

Answer 1

Answer:

sin²π/6+cos²7π/6 cos²π/4=3/2

L. H. S..

=> 2×(1/2) ²+ᴄᴏꜱᴇᴄ²(7×180/6) (1/2) ²

ᴏʀ, 2×1/4+ᴄᴏꜱᴇᴄ²(210°) ×1/4

ᴏʀ, 1/2+ᴄᴏꜱᴇᴄ²(180°+30°)×1/4

ᴏʀ, 1/2+(-ᴄᴏꜱᴇᴄ²30°) ×1/4

ᴏʀ, 1/2+(-2) ²×1/4

ᴏʀ, 1/2+4×1/4

Oɾ,1/2+1

Oɾ, 1+2/2

Oɾ, 3/2(ρɾσʋҽ)

Hope it's HELP ❤

Answer 2

Hope its Helpful:))

....xD