Question

find the value of cos square 45 + tan square 60​

Answer 1

${cos}^{2} 45 + {tan}^{2} 60$

cos(1/√2)^2+tan(√3)^2

=> (1/√2 x 1/√2) + (√3 x √3)

=> (1/2)+(3)

=(1+6/3)

=> 7/2

=> 3.5

Answer 2

cos²45° + tan²60° = 3.5

Given :

The expression cos²45° + tan²60°

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

cos²45° + tan²60°

Step 2 of 2 :

Find the value of the expression

cos²45° + tan²60°

$\displaystyle \sf{ = { \bigg( \frac{1}{ \sqrt{2} } \bigg)}^{2} + {( \sqrt{3} )}^{2} }$

$\displaystyle \sf{ = \frac{1}{2} + 3 }$

$\displaystyle \sf{ = \frac{1 + 6}{2} }$

$\displaystyle \sf{ = \frac{7}{2} }$

$\displaystyle \sf{ =3.5 }$

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