Question

Find the value of
Cos45°÷(sec30°+cosec30°)

Answer 1

Step-by-step explanation:

We know that

• Cos45° = 1/√2
• Sec30° = 1/Cos30° = 2/√3 (as Cos30° = √3/2)
• Cosec30° = 1/Sin30° = 2 (as Sin30° = 1/2)

Now, substituting the following values in the given expression, we get (1/√2)/(2/√3+2).

On simplifying the given expression, we get √3/2√2(1+√3) and on rationalisation, the final answer is - √3-3/4√2

Answer 2

Answer:

Step-by-step explanation:We know that

Cos45° = 1/√2

Sec30° = 1/Cos30° = 2/√3 (as Cos30° = √3/2)

Cosec30° = 1/Sin30° = 2 (as Sin30° = 1/2)

Now, substituting the following values in the given expression, we get (1/√2)/(2/√3+2).

On simplifying the given expression, we get √3/2√2(1+√3) and on rationalisation, the final answer is - √3-3/4√2