Trigonometry

The equation $\cos ^{2} \theta=\frac{(x+y)^{2}}{4 xy}$ is only possible when ? A. x = -y B. x > y C. x = y D. x < y Answer: Option C Show Answer Solution(By Apex…

The greatest value of $\sin ^{4} \theta+\cos ^{4} \theta$ is. A. 2 B. 3 C. $\frac{1}{2}$ D. 1 Answer: Option D Show Answer Solution(By Apex Team) $\begin{array}{l}\sin^2\theta+\cos ^2\theta=1\\ \text{Squaring both…

Maximum value of 2sinθ + 3cosθ is? A. 2 B. $\sqrt{13}$ C. $\sqrt{15}$ D. 1 Answer: Option B Show Answer Solution(By Apex Team) $\begin{array}{l}(2\sin\ theta+3\cos\theta)\\ \text{Maximum value of}\\ a\sin\theta+b\cos\theta\\ \begin{array}{l} =\sqrt{a^{2}+ b^{2}}…

The minimum value of $2 \sin ^{2} \theta+3 \cos ^{2} \theta$ is ? A. 0 B. 3 C. 2 D. 1 Answer: Option C Show Answer Solution(By Apex Team) Let…