Question

If $\sin \beta +\cos \beta =\frac{5}{4}$, then find the value of $\sin \beta$. $\cos \beta$.

• A. $\frac{1}{4}$
• B. $\frac{9}{32}$
• C. $\frac{5}{16}$
• D. $\frac{11}{32}$

Answer 1

Answer: (B)

(i) By squaring on both the sides of the given equation we can obtain.
(ii) Square on both sides of $\sin \beta +\cos \beta =\frac{5}{4}$.