Question

Write all the Trigonometric ratios, identities.

No Spams !!

​

Answer 1

Answer:

I hope this answer help you and follow me and mark me as brainliest

Step-by-step explanation:

sin^2 +cos^2 = 1 first identity. sec^2 - tan^2 =1 second identity. cosec^2- cot ^2=1 third identity. tan= sin/ cos and cot =cos/ sin

Answer 2

Solution :

Step-by-step explanation:

Trigonometry :

Trigonometry is a branch of mathematics which deal with the study of three sides measurement.

There are six trigonometric ratios :

$\large \sin \theta=\dfrac{perpendicular}{hypotenuse} \\\\\\\large \cos \theta=\dfrac{base}{hypotenuse} \\\\\\\large \tan \theta=\dfrac{perpendicular}{base} \\\\\\\large \cot \theta=\dfrac{base}{perpendicular} \\\\\\\large \sec \theta=\dfrac{hypotenuse}{base} \\\\\\\large cosec \ \theta=\dfrac{hypotenuse}{perpendicular}$

Now some important identities are :

$\large 1. \ \sin^2 \theta+\cos^2 \theta=1\\\\\\\large \text{It can be also written as}\\\\\\\large \sin^2 \theta=1-\cos^2 \theta\\\\\\\large \cos^2 \theta=1-\sin^2 \theta\\\\\\\large 2. \ \sec^2 \theta-\tan^2 \theta=1\\\\\\\large \text{It also can be also written as}\\\\\\\large \sec^2 \theta=1+\tan^2 \theta\\\\\\\large \tan^2 \theta=\sec^2 \theta-1$

$\large 3. \ cosec^2 \theta-\cot^2 \theta=1\\\\\\\large \text{It also can be written as }\\\\\\\large cosec^2 \theta=1+\cot^2 \theta\\\\\\\large \cot^2 \theta=cosec^2 \theta-1$

$\large 4. \ \tan \theta=\dfrac{\sin \theta}{\cos \theta} \\\\\\\large 5. \ \cot \theta=\dfrac{\cos \theta}{\sin \theta}$