Question

SIN$\theta$=? ,cos$\theta$=?, TAN$\theta$=1.

SOLVE THIS. ​

Answer 1

Answer:

$\sin \theta = \frac{1}{ cosec \theta} \\ \\ coses \theta = \frac{1}{sec \theta} \\ \\ \tan\theta = \frac{1}{cot \theta}$

Answer 2

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If value of Tanθ = 1 , then find sinθand cos θ

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◖Using the trigonometric ratios;

★$\large\tt\ Sinθ \: = \: \frac{perpendicular}{Hypotenuse}$

★$\large\tt\ Cosθ \: = \: \frac{Base}{Hypotenuse}$

★$\large\tt\ Tanθ \: = \: \frac{Perpendicular}{Base}$

◖Now, solve according to them ;

❖Value of Tanθ is given and that is 1 ,

$\large\tt\ Tanθ \: = \: \frac{1}{1}$

◖From this we can conclude that, Base and perpendicular both are equal to 1 ;

❖ Using phythagorus theorem ;

$\large{\boxed{\boxed{\sf{\red{ Hypotenuse^2 \: = \: Perpendicular^2 \: + \: Base^2}}}}}$

◖Now;

$\large\tt\ Hypotenuse^2 \: = \: (1)^2 \: + \: (1)^2$

$\large\tt\ Hypotenuse \: = \: \sqrt{2}$

◖Conistute it ;

$\large\tt\ Sinθ \: = \: \frac{1}{\sqrt{2} }$

And;

$\large\tt\ Cosθ \: = \: \frac{1}{\sqrt{2} }$