1. Tardigrade
  2. Question
  3. Mathematics
  4. The value of sin 2 (π/6)+ cos 2 (π/3)- tan 2 (π/4) is equal to ...A.... Here, A refers to

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The value of $\sin ^2 \frac{\pi}{6}+\cos ^2 \frac{\pi}{3}-\tan ^2 \frac{\pi}{4}$ is equal to ...$A$.... Here, $A$ refers to

Trigonometric Functions

Solution:

$\sin ^2 \frac{\pi}{6}+\cos ^2 \frac{\pi}{3}-\tan ^2 \frac{\pi}{4}$
$=\left(\frac{1}{2}\right)^2+\left(\frac{1}{2}\right)^2-(1)^2=\frac{1}{4}+\frac{1}{4}-1$
$=\frac{1}{2}-1=-\frac{1}{2}$