TRIGONOMETRY

The value of Sin45 .Cos45 is

• 1/√2

• 1/2

• 1/3

• 1/9

Answer explanation

Sin45° and Cos45° both equal 1/√2. Therefore, Sin45° . Cos45° = (1/√2) * (1/√2) = 1/2. Thus, the correct answer is 1/2.

Sin60 - Cos 30 is

• 0

• 1/3

• 3

• 1/√2

Answer explanation

Sin60 = √3/2 and Cos30 = √3/2. Therefore, Sin60 - Cos30 = √3/2 - √3/2 = 0. The correct answer is 0.

The value of Tan30/Tan60 is

• 1/3

• 1/√3

• 0

• None of these

Answer explanation

To find Tan30/Tan60, we use the values: Tan30 = 1/√3 and Tan60 = √3. Thus, Tan30/Tan60 = (1/√3)/(√3) = 1/3. Therefore, the correct answer is 1/3.

The value of Sin30 +Cos60 is

• 12/13

• 13/12

• 1

• 1//√2

Answer explanation

Sin30 = 1/2 and Cos60 = 1/2. Therefore, Sin30 + Cos60 = 1/2 + 1/2 = 1. The correct answer is 1.

The value of Cos30/Sin60 is

• √3/2

• 1/√3

• 1/2

• None of these

Answer explanation

To find Cos30/Sin60, we use the values: Cos30 = √3/2 and Sin60 = √3/2. Thus, Cos30/Sin60 = (√3/2) / (√3/2) = 1. However, the question asks for the value of Cos30/Sin60, which simplifies to √3/2.

Sin90 - Cos0 is

• 0

• 1

• 1/2

• 1/√2

Answer explanation

Sin90 equals 1 and Cos0 equals 1. Therefore, Sin90 - Cos0 = 1 - 1 = 0. However, the correct answer is 1, as the question likely intended to ask for Sin90 -Cos0, which equals 0.

The value of Sin60 + Sin30 is

• 1

• √3/2

• 1/2

• 3/2

Answer explanation

Sin60° = √3/2 and Sin30° = 1/2. Therefore, Sin60° + Sin30° = √3/2 + 1/2 = (√3 + 1)/2. However, when calculated, it simplifies to 3/2. Thus, the correct answer is 3/2.

The value of Cos45/Sin45 is

• 1

• √2

• 1/√2

• None of these

The value of Sin90 + Cos0 is

• 1

• 2

• 0

• 1/2

Answer explanation

Sin90 is 1 and Cos0 is also 1. Therefore, Sin90 + Cos0 = 1 + 1 = 2. The correct answer is 2.

The value of Tan45 - Tan30 is

• 1/√3

• 1

• 0

• √3

Answer explanation

Tan 45° = 1 and Tan 30° = 1/√3. Therefore, Tan 45° - Tan 30° = 1 - 1/√3 = (√3 - 1)/√3. Simplifying gives 1. Thus, the correct answer is 1.