Question

find the value of 5 cos 23 degree into sin 67 degree + sin 23 degree into cos 67 degree​

Answer 1

Answer:

might be your question is wrong...

5cos²23 degree+sin²23

Answer 2

The value of $\cos 23\sin 67+\sin 23\cos 67$ is equal to one(1).

Step-by-step explanation:

We have,

$\cos 23\sin 67+\sin 23\cos 67$

To find, the value of $\cos 23\sin 67+\sin 23\cos 67=?$

∴ $\cos 23\sin 67+\sin 23\cos 67$

$=\cos 23\sin (90-23)+\sin 23\cos (90-23)$

$=\cos 23.\cos 23+\sin 23.\sin 23$

Using the trigonometric identity,

$\cos A=\sin (90-A)$ and $\sin A=\cos (90-A)$

$=\sin^2 23+\cos^2 23$

Using the trigonometric identity,

$\sin^2 A+\cos^2 A=1$

= 1

∴ The value of $\cos 23\sin 67+\sin 23\cos 67=1$

Thus, the value of $\cos 23\sin 67+\sin 23\cos 67$ is equal to one(1).

You can refer:

https://brainly.in/question/5461372