What is (10+tan(x))(10-tan(x))+sec^2(x) ?

The solution to (10+tan(x))(10-tan(x))+sec^2(x) is 101

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simplify (10+tan(x))(10-tan(x))+sec^2(x)

simplify

(10 + tan (x)) (10 - tan (x)) + sec^{2} (x)

101

Solution steps

(10 + tan (x)) (10 - tan (x)) + sec^{2} (x)

Expand

(10 + tan (x)) (10 - tan (x)) : 100 - tan^{2} (x)

= 100 - tan^{2} (x) + sec^{2} (x)

Use the Pythagorean identity:

sec^{2} (x) = tan^{2} (x) + 1

sec^{2} (x) - tan^{2} (x) = 1

= 100 + 1

Add the numbers:

100 + 1 = 101

= 101

(3 e^{3 t} - 3 e^{t}) (- 0.5 e^{- 3 t} + 0.5 e^{- t})

\frac{4 ( 4 x + 3 )}{( 4 x + 9 ) ^{3}}

(- 2 - 3 i)^{6}

3 (27 - 22) + 36

7 (7 - 5)

What is (10+tan(x))(10-tan(x))+sec^2(x) ?
The solution to (10+tan(x))(10-tan(x))+sec^2(x) is 101