Prove tan x sin x + cos x=sec x

Step-by-step explanation:

first write Tan as sin/cos and Sec as 1/cos then simplify and in the last step use Sin²x + cos²x = 1

Hope this helps

Shiva had read 1/6 of the book that night.

1/2 + n = whole book - 1/3

1/2 + n = 1                   - 1/3 = 3/3 - 1/3

1/2 + n                                    =     2/3

The Lowest Common denominator of 2 and 3 is 6.  Change each fraction to 6ths.

1/2 = 3/6.   and 2/3 = 4/6

So 3/6 + n = 4/6

Subtract 3/6 from each side

3/6 + n - 3/6. = 4/6 - 3/6

          n.           = 1/6

Shiva had read 1/6 of the book that night.