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Find the value of `cos^2. pi/16+cos^2. (3pi)/16+cos^2. (7pi)/16`. |
Answer» `L.H.S.=cos^2. pi/16+cos^2.(3pi)/16+cos^2(pi/2-(3pi)/16)` `+cos^2(pi/2-pi/16)` `=cos^2.pi/16+cos^2.(3pi)/16+sin^2.(3pi)/16+sin^2.pi/16` `=(cos^2. pi/16+sin^2. pi/16)+(cos^2(3pi)/16+sin^2(3pi)/16)` `=1+1=2` |
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