Question

if sin theta =1/2,then the value of (sin theta - codec theta )is​

Answer 1

Given ,

$\bf sin\theta=\dfrac{1}{2}\\\\\implies \bf cosec\theta=\dfrac{1}{sin\theta}=2$

We need to find the value of " sinθ - cosecθ "

$\implies \bf (sin\theta-cosec\theta)\\\\\implies \bf (\dfrac{1}{2}-2)\\\\\implies \bf \dfrac{-3}{2}$

More Info :

$\underbrace{\bf{Trigonometric\ Identities\ :}}$

$\bullet{\;\;\bf{sin^2\theta+cos^2\theta=1}}\\\\\bullet{\;\;\bf{sec^2\theta-tan^2\theta=1}}\\\\\bullet{\;\;\bf{cosec^2\theta-cot^2\theta=1}}$

Answer 2

Explanation:

Given ,

$\begin{gathered}\bf sin\theta=\dfrac{1}{2}\\\\\implies \bf cosec\theta=\dfrac{1}{sin\theta}=2\end{gathered}$

We need to find the value of " sinθ - cosecθ "

$\begin{gathered}\implies \bf (sin\theta-cosec\theta)\\\\\implies \bf (\dfrac{1}{2}-2)\\\\\implies \bf \dfrac{-3}{2}\end{gathered}$

✡Note✡

$\underbrace{\bf{Trigonometric\ Identities\ :}}$

$\begin{gathered}\bullet{\;\;\bf{sin^2\theta+cos^2\theta=1}}\\\\\bullet{\;\;\bf{sec^2\theta-tan^2\theta=1}}\\\\\bullet{\;\;\bf{cosec^2\theta-cot^2\theta=1}}\end{gathered}$

$\underbrace{\bf{Types Angle\ :}}$

the types of angles are

1. acute angle
2. obtuse angle
3. reflex angle
4. straight angle
5. complete angle
6. right angle

• supplementary angle measures 180 degree
• complete angle always measure 360 degree

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