What is simplify-(101)/(cos^2(a))+(101)/(cot^2(a)) ?

The solution to simplify-(101)/(cos^2(a))+(101)/(cot^2(a)) is -101

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simplify-(101)/(cos^2(a))+(101)/(cot^2(a))

simplify

- \frac{101}{cos ^{2} ( a )} + \frac{101}{cot ^{2} ( a )}

- 101

Solution steps

- \frac{101}{cos ^{2} ( a )} + \frac{101}{cot ^{2} ( a )}

Use the basic trigonometric identity:

\frac{1}{cos ( x )} = sec (x)

= \frac{101}{cot ^{2} ( a )} - 101 sec^{2} (a)

Use the basic trigonometric identity:

\frac{1}{cot ( x )} = tan (x)

= 101 tan^{2} (a) - 101 sec^{2} (a)

Use the Pythagorean identity:

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

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

= 101 (- 1)

Factor out common term

101

= 101 (tan^{2} (a) - sec^{2} (a))

= - 101

(2 x - y + 2)^{3}

\frac{( 12 x ^{3} + 38 x ^{2} + 26 x + 15 )}{( 2 x + 5 )}

(\frac{- 3}{10 \cdot r ^{5} \cdot s ^{6}})^{2}

sin^{2} (a) - cos^{2} (x)

(x - 9) \cdot (2 x)^{0.5}

What is simplify-(101)/(cos^2(a))+(101)/(cot^2(a)) ?
The solution to simplify-(101)/(cos^2(a))+(101)/(cot^2(a)) is -101