Math, asked by balu2332, 11 months ago

find the value of tan square 45 +cot square 30​

Answers

Answered by prem6961
8

Answer:

Step-by-step explanation:

tan2 45+ cot2 30

(1)2+ (root3)2

4

note: tan2 is tan square,cot2 is cot square,

(1)2 is 1 square,(root3)2  is root3 square

Answered by pinquancaro
11

The value of the expression is \tan^245+\cot^230=4

Step-by-step explanation:

Given : Expression \tan^245+\cot^230

To find : The value of the expression ?

Solution :

Expression \tan^245+\cot^230

We know the trigonometric values,

\tan45=1 and \cot 30=\sqrt{3}

Substitute,

\tan^245+\cot^230=(\tan 30)^2+(\cot 45)^2

\tan^245+\cot^230=(1)^2+(\sqrt3)^2

\tan^245+\cot^230=1+3

\tan^245+\cot^230=4

Therefore, the value of the expression is \tan^245+\cot^230=4

#Learn more

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