Question

Without using trigonometric tables, find values of $\frac{\sin {35}^o}{\cos {55}^o}$

• A. $0$
• B. $1$
• C. $2$
• D. $-1$

Answer 1

The correct option is B $1$

We know $\sin \left(\mathring{90-\theta }\right)=\cos \theta$

$\frac{\sin \mathring{35}}{\cos \mathring{55}}=\frac{\sin \left(\mathring{90-}\mathring{55}\right)}{\cos \mathring{55}}=\frac{\cos \mathring{55}}{\cos \mathring{55}}=1$