Question

√3 sin x = cos x
find the value of x​

Answer 1

Step-by-step explanation:

x=30..hope it's helpful to you

Answer 2

Solution :-

Here,

√3 Sin x = Cos x

By cross multiplying , we get

√3 Sin x = Cos x

Sin x / Cos x = 1 / √3

As we know that ,

Sin x / Cos x = Tan x

So,

Tan x = 1 / √3 ........eq(1)

Since ,

Tan 30° = 1/ √3 .........eq(2)

From eq(1) and eq(2)

The value of x = 30°

Values of trigonometric ratios

• Sin 0° = 0
• Sin 30° = 0
• Sin 45° = 1/√2
• Sin 60° = √3/2
• Sin 90° = 1

• Cos 0° = 1
• Cos 30° = √3/2
• Cos 45° = 1 /√2
• Cos 60° = 1/2
• Cos 90° = 0

• Tan 0° = 0
• Tan 30° = 1/√3
• Tan 45° = 1
• Tan 60° = √3
• Tan 90° = Not defined

• Cosec 0° = Not defined
• Cosec 30° = 2
• Cosec 45° = √2
• Cosec 60° = 2/√3
• Cosec 90° = 1

• Sec 0° = 1
• Sec 30° = 2/√3
• Sec 45° = √2
• Sec 60° = 2
• Sec 90°= Not defined

• Cot 0° = Not defined
• Cot 30° = √3
• Cot 45° = 1
• Cot 60° = 1/√3
• Cot 90° = 0

Some more info ,

Tan theta = sin theta / cos theta

Cot theta = 1/ Tan theta

Sec theta = 1 / Cos theta

Cosec theta = 1 / Sin theta