Question

Tan 37 degree . Cot 37 degree

Answer 1

Explanation:

It is a rule/identity.

tanx . cotx=1

Reason: Tan and Cot are reciprocal of each other.

tan x = 1/cotx

Cross multiplying

tanx . cotx = 1

so tan 37 . cot 37 =1

Answer 2

$\displaystyle \bf tan \: {37}^{ \circ} .cot \: {37}^{ \circ} = 1$

Given :

$\displaystyle \sf The \: expression \: \: tan \: {37}^{ \circ} .cot \: {37}^{ \circ}$

To find :

The value of the expression

Formula Used :

$\displaystyle \sf cot \: \theta = \frac{1}{tan \: \theta}$

Solution :

Step 1 of 2 :

Write down the given expression

Here the given expression is

$\displaystyle \sf tan \: {37}^{ \circ} .cot \: {37}^{ \circ}$

Step 2 of 2 :

Find the value of the expression

$\displaystyle \sf tan \: {37}^{ \circ} .cot \: {37}^{ \circ}$

$\displaystyle \sf = tan \: {37}^{ \circ} . \frac{1}{tan \: {37}^{ \circ}} \: \: \: \bigg[ \: \because \: cot \: \theta = \frac{1}{tan \: \theta}\bigg]$

$= 1$

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