Question

Sin square theta + cos square (90-theta)- cos square theta - sin square (90-theta)=1/5. What is Sin square theta - cos square theta

Answer 1

Answer:

$\frac{1}{10}$

Step-by-step explanation:

$\frac{1}{5}$ = $sin^{2}$Ф + $cos^{2}$(90-Ф)- $cos^{2}$Ф - $sin^{2}$(90-Ф)

$\frac{1}{5}$  = $sin^{2}$Ф + $sin^{2}$Ф - $cos^{2}$Ф - $cos^{2}$Ф

$\frac{1}{5}$  = $2sin^{2}$Ф - $2cos^{2}$Ф

$\frac{1}{5}$  = 2($sin^{2}$Ф - $cos^{2}$Ф)

$\frac{1}{10}$ = $sin^{2}$Ф -  $cos^{2}$Ф