Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Connect with a community of experts ready to provide precise solutions to your questions quickly and accurately. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

solve trigonometric function
cot0/tan0

Sagot :

semsee45

Answer:

[tex]\dfrac{1}{\tan^2(\theta)}}=\cot^2(\theta)[/tex]

Step-by-step explanation:

[tex]\cot(\theta)=\dfrac{1}{\tan(\theta)}[/tex]

[tex]\implies \dfrac{\cot(\theta)}{\tan(\theta)}=\dfrac{1}{\tan(\theta)}\div{\tan(\theta)}}=\dfrac{1}{\tan(\theta)} \times \dfrac{1}{\tan(\theta)} =\dfrac{1}{\tan^2(\theta)}}=\cot^2(\theta)[/tex]

[tex]\\ \rm\Rrightarrow cotA\div tanA[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{cosA}{sinA}\div \dfrac{sinA}{cosA}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{cosA}{sinA}\times \dfrac{cosA}{sinA}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{cos^2A}{sin^2A}[/tex]

[tex]\\ \rm\Rrightarrow cot^2A[/tex]

Note

  • theta is taken as A
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.