Question

Find the value of :-
cos 15 degree 26 minutes ​

Answer 1

Answer:

it's 0.96394

Step-by-step explanation:

hope the ans is right ❤️

Answer 2

The value of cos15 is $\dfrac{\sqrt3 +1}{2\sqrt2}$.

Step-by-step explanation:

In this question, we need to find the value of cos (15).

$\cos15=\cos(45-30)$

Since,

$\cos(A-B)=\cos A \cos B+\sin A \sin B\\\\\cos(45-30)=\cos (45) \cos (30)+\sin (45) \sin (30)$

Putting trigonometric values, we get :

$\cos(45-30)=\cos (45) \cos (30)+\sin (45) \sin (30)\\\\\cos15=\cos(45-30)=\dfrac{1}{\sqrt{2} }\times \dfrac{\sqrt{3} }{2}+\dfrac{1}{\sqrt 2}\times \dfrac{1}{2}\\\\\cos15=\cos(45-30)=\dfrac{\sqrt3 +1}{2\sqrt2}$

So, the value of cos (15) is $\dfrac{\sqrt3 +1}{2\sqrt2}$.

Learn more,

Trigonometry

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