Question

Find the value of sin 90 cos 60
​

Answer 1

Answer:

answer is 30 this is answer

Answer 2

Correct Question

Find the value of sin 90° cos 60°.

Given :

sin 90° cos 60°.

To find :

We need to find the value of sin 90° cos 60°.

Solution :

We know that,

sin 90° = 1

cos 60° = √3/2.

» Now, let's solve our problem and understand the steps to get our final answer.

➙ sin 90° × cos 60°

➙ 1 × √3/2

➙ √3/2

Thus, the the value of sin 90° cos 60° is √3/2.

Some Important trigonometric identities :

• cos²θ + sin²θ = 1
• cos²θ = 1 - sin²θ
• sin²θ = 1 - cos²θ
• 1 + tan²θ = sec²θ
• sec²θ - tan²θ = 1
• tan²θ = sec²θ - 1
• 1 + cot²θ = cosec²θ
• cosec²θ - cot²θ = 1
• cot²θ = cosec²θ - 1

$\Large{ \begin{tabular}{|c|c|c|c|c|c|} \cline{1-6} \theta & \sf 0^{\circ} & \sf 30^{\circ} & \sf 45^{\circ} & \sf 60^{\circ} & \sf 90^{\circ} \\ \cline{1-6} \sin & 0 & \dfrac{1}{2 } & \dfrac{1}{ \sqrt{2} } & \dfrac{ \sqrt{3}}{2} & 1 \\ \cline{1-6} \cos & 1 & \dfrac{ \sqrt{ 3 }}{2} } & \dfrac{1}{ \sqrt{2} } & \dfrac{ 1 }{ 2 } & 0 \\ \cline{1-6} \tan & 0 & \dfrac{1}{ \sqrt{3} } & 1 & \sqrt{3} & \infty \\ \cline{1-6} \cot & \infty & \sqrt{3} & 1 & \dfrac{1}{ \sqrt{3} } &0 \\ \cline{1 - 6} \sec & 1 & \dfrac{2}{ \sqrt{3}} & \sqrt{2} & 2 & \infty \\ \cline{1-6} \csc & \infty & 2 & \sqrt{2 } & \dfrac{ 2 }{ \sqrt{ 3 } } & 1 \\ \cline{1 - 6}\end{tabular}}$