Find the value of tan5°tan25°tan30°tan45°tan65°tan85°.
tan5°tan25°tan30°tan45°tan65°tan85°=tan5°tan25°tan30°×1×tan90°-25°×tan90°-5°=tan5°×tan25°×tan30°×cot25°×cot5°;tan(90°-x)=cotx=tan5°×cot5°×tan25°×cot25°×tan30°=tan5°×tan25°×tan30°×1tan25°×1tan5°;tan(x)=1cotx=1×1×13;tan(30°)=13=13
Hence, the final value of the expression is 13.
5 + 15 + 25 + 35 + 45 + 55 + 65 + 75 + 85 + 95 = ___
Calculate the mode of the following data:
Let N = 45+45+45+4535+35+35⋅65+65+65+65+65+6525+25 then the value of log2N =