Question

1-Draw a trigonometric table of values.(No attachment. use Latex)
2-write the square formulas related to trigonometry. ​

Answer 1

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

Note : kindly see from web

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

trigonometric formulas:

• Sin²θ+cos²θ=1
• sec²θ-tan²θ=1
• cosec²θ-cot²θ=1

Reciprocal Identities:

• Sinθ=1/cosecθ
• cosθ=1/secθ
• Tanθ=1/cotθ

Angle formulas:

• Sin(90-θ)=cosθ
• tan(90-θ)=cotθ
• cosec (90-θ)=secθ
• sec(90-θ)=cosecθ
• cot(90-θ)=tanθ
• cos(90-θ)=sinθ

Even odd identities:

• Sin(-θ)= -sinθ
• tan(-θ)= -tanθ
• Cos(-θ)=cosθ

Quotient identities:

• Tanθ=sinθ/cosθ
• Cotθ=cosθ/sinθ

Answer 2

the intellectual and practical activity encompassing the systematic study of the structure and behaviour of the physical and natural world through observation and experiment.

"the world of science and technology

can be friend