Question

How to find the value of sin 15degree

Answer 1

Answer:

3^1/2 - 1/2(2)^1/2

Step-by-step explanation:

Refer to the image below.

Mark as brainiest.

Answer 2

$\huge\underbrace{\purple{Q}\orange{u}\red{e}\pink{s}\blue{t}{i}\blue{o}\green{n}}$

$\huge\mathfrak\pink{∆}$How to find the value of sin 15°

$\huge\bf{{\color{indigo}{a}}{\color{maroon}{n}}{\red{s}}{\color{red}{w}}{\color{orange}{e}}{\color{gold}{r}}}$

$\small{ }$

$\huge\mathfrak\red{➛}$ Sin 15° = Sin ( 45° - 30° )

Sin (x-y) = Sin X cos Y - Cos X and Y

putting X =45°, Y=30°

$\huge\mathfrak\green{➛}$ Sin 45° Cos 30°- Cos 45° Sin 30°

$\huge\mathfrak\orange{❈}$ $\frac{ 1 }{ \sqrt{ 2 } } \times \sqrt{ \frac{ 3 }{ 2 } } - \frac{ 1 }{ \sqrt{ 2 } } \times \frac{ 1 }{ 2 }$

$\huge\mathfrak\orange{❈}$ $\frac{ 1 }{ \sqrt{ 2 } } ( \frac{ \sqrt{ 3-1 } }{ 2 } )$

=$\frac{ \sqrt{ 3-1 } }{ 2 \sqrt{ 2 } }$

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★Basic Formulas★

$\huge\mathfrak\blue{⇝}$ There are basically 6 ratios used for finding the elements in Trigonometry. They are called trigonometric functions. The six trigonometric functions are sine, cosine, secant, co-secant, tangent and co-tangent.

$\huge\mathfrak\green{⤷}$ By using a right-angled triangle as a reference, the trigonometric functions or identities are derived:

✯sin θ = Opposite Side/Hypotenuse

✯cos θ = Adjacent Side/Hypotenuse

✯tan θ = Opposite Side/Adjacent Side

✯sec θ = Hypotenuse/Adjacent Side

✯cosec θ = Hypotenuse/Opposite Side

✯cot θ = Adjacent Side/Opposite Side

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