Question

(1+tan13)(1+tan32)/(1+tan12)(1+tan33)=?​

Answer 1

Step-by-step explanation:

Follow the steps as follows.

In image hope it helps.

Answer 2

Answer:

(1+tan13)(1+tan32)/(1+tan12)(1+tan33)=1.

Step-by-step explanation:

Step : 1   Given: (1+tan13)(1+tan32)/(1+tan12)(1+tan33)

$\begin{aligned}& \frac{(1+\tan 13)(1+\tan 32)}{(1+\tan 12)(1+\tan 33)} \\& \frac{(1+\tan 13)(1+\tan (45-13))}{(1+\tan 12)(1+\tan (45-12))} \\& \frac{(1+\tan 13)\left(1+\frac{1-\tan 13}{1+\tan 13}\right)}{(1+\tan 12)\left(1+\frac{1-\tan 12}{1+\tan 12}\right)}\end{aligned}$

$\begin{aligned}& \left\{\begin{array}{c}\tan (45-\theta) \\=\frac{1-\tan \theta}{1+\tan \theta}\end{array}\right\} \\& \frac{\left(1+\frac{\tan 13)}{(1+\tan 13)}+1-\tan 13\right)}{\frac{1+\tan 13+1-\tan }{(1+\tan 13)}}\end{aligned}$

$\begin{aligned}& \frac{(1+\tan 12)(1+\tan 12+1-\tan 12)}{(1+\tan 12)} \\& =\frac{1+1}{1+1}=\frac{2}{2}=1\end{aligned}$

Step : 2 A 10-digit alpha-numeric number called a tax deduction account number or tax collection account number is one that the income-tax department issues. All individuals who are obligated to collect or are responsible for deducting tax at source (TDS) must get a TAN (TCS).

Step : 3 Tax Deduction and Collection Account Number is referred to as TAN. It is a 10-digit ITD-issued alpha-numeric number. 2. Who requires a TAN All individuals obliged to deduct tax at source or obligated to collect tax at source must get a TAN.

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