Question

The value of cos53⁰cos37⁰ - sin53⁰sin37⁰ is​

Answer 1

Answer:

sin = cos (90-a)

sin 37° sin 53° -( sin 53° sin 37°)

sin 37° sin 53° - sin 53° - sin 37°

sin 37° - sin 37° + sin 53° - sin 53°

= 0

Answer 2

Answer:

0 is the answer. ❥✪

Step-by-step explanation:

There is a formula in TRIGONOMETRY,

$\bold{ \fcolorbox{green}{black}{ cos(a + b) = cos(a) . cos(b) - sin(a)sin(b)}}$

Here,

a = 53° and b = 37°

so,

$\bf{cos53⁰cos37⁰ - sin53⁰sin37⁰ =cos(53⁰ + 37⁰)}$

$\bf= \cos(90°)$

$\bold{ \huge \fcolorbox{blue}{pink}{ \blue{= 0}}}$