What is the value of 2sin(37.5)sin(97.5) ?

The value of 2sin(37.5)sin(97.5) is (1+sqrt(2))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2sin(37.5)sin(97.5)

2 sin (37. 5^{\circ}) sin (97. 5^{\circ})

\frac{1 + 2}{2}

Solution steps

2 sin (37. 5^{\circ}) sin (97. 5^{\circ})

Rewrite using trig identities:

cos (6 0^{\circ}) - cos (13 5^{\circ})

= cos (6 0^{\circ}) - cos (13 5^{\circ})

Use the following trivial identity:

cos (6 0^{\circ}) = \frac{1}{2}

Use the following trivial identity:

cos (13 5^{\circ}) = - \frac{2}{2}

= \frac{1}{2} - (- \frac{2}{2})

Simplify

\frac{1}{2} - (- \frac{2}{2}) : \frac{1 + 2}{2}

= \frac{1 + 2}{2}

arcsin (sin (\frac{π}{7}))

2 cos (0) + sin (2 \cdot 0)

arccos (- \frac{3}{2})

- arcsin (1)

2 sin (\frac{π}{3}) cos (\frac{π}{3})

What is the value of 2sin(37.5)sin(97.5) ?
The value of 2sin(37.5)sin(97.5) is (1+sqrt(2))/2