Question

Which among the following statement is true in the figure?

• A. sin Q= a/c
• B. cos Q =a/c
• C. tan P = b/a
• D. cos P = a/b

Answer 1

Answer:

B. cos Q =a/c

The correct statement is $\cos Q = \frac{a}{c}$.

In a right-angled triangle, the basic trigonometric ratios relative to angle $Q$ are defined as follows:

• $\cos Q$ = $\frac{\text{Adjacent Side}}{\text{Hypotenuse}}$ = $\frac{a}{c}$ (This statement is True)

• $\sin Q$ = $\frac{\text{Opposite Side}}{\text{Hypotenuse}}$ = $\frac{b}{c}$

• $\tan P$ = $\frac{\text{Side Opposite to } P}{\text{Side Adjacent to } P}$ = $\frac{a}{b}$

• $\cos P$ = $\frac{\text{Side Adjacent to } P}{\text{Hypotenuse}}$ = $\frac{b}{c}$