What is (1-cos(2a))/(cos^2(a)) ?

The solution to (1-cos(2a))/(cos^2(a)) is 2tan^2(a)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (1-cos(2a))/(cos^2(a))

simplify

\frac{1 - cos ( 2 a )}{cos ^{2} ( a )}

2 tan^{2} (a)

Solution steps

\frac{1 - cos ( 2 a )}{cos ^{2} ( a )}

Simplify

1 - cos (2 a) : 2 sin^{2} (a)

= \frac{2 sin ^{2} ( a )}{cos ^{2} ( a )}

Use the basic trigonometric identity:

\frac{sin ( x )}{cos ( x )} = tan (x)

= 2 tan (a) tan (a)

Apply exponent rule:

aa = a^{2}

tan (a) tan (a) = tan^{2} (a)

= 2 tan^{2} (a)

7 (5 x + 1) - 10 x

p^{2} - 100

(x + 1) (2 x^{2} - 2) (x^{3} + 5)

9 (2 k - 4) - 2 (7 k - 12)

(3 a + 3 b) (7 a - 5 b)

What is (1-cos(2a))/(cos^2(a)) ?
The solution to (1-cos(2a))/(cos^2(a)) is 2tan^2(a)