Write the value of ^ -1 ( 1550^ ). - Vidyadip

Question

Write the value of $\sin^{-1}(\sin1550^\circ).$

✓

Answer

We know that $\sin^{-1}(\sin\text{x})=\text{x}.$
Now,
$\sin^{-1}(\sin1550^\circ)=\sin^{-1}\{\sin(1620^\circ-1550^\circ)\}$
$[\because\ \sin\text{x}=\sin(1620^\circ-\text{x})]$
$=\sin^{-1}\{\sin(70^\circ)\}$
$=70^\circ$
$\because\ \sin^{-1}(\sin1550^\circ)=70^\circ$

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