MCQ
If A and B are complementary angles, then:
- A$\sin\text{A}=\sin\text{B}$
- B$\cos\text{A}=\cos\text{B}$
- C$\tan\text{A}=\tan\text{B}$
- ✓$\sec\text{A}=\text{cosec B}$
✓
Answer
Correct option: D.
$\sec\text{A}=\text{cosec B}$
Given: A and are B are complementary angles
Since $\sec(90^\circ-\text{B})=\text{cosec }\text{B}$
therefore A + B = 90°
$\Rightarrow\text{A}=90^\circ-\text{B}$
$\Rightarrow\sec\text{A}=\sec(90^\circ-\text{B})$
$\Rightarrow\sec\text{A}=\text{cosec }\text{B}$
Hence the correct option is (d)
Since $\sec(90^\circ-\text{B})=\text{cosec }\text{B}$
therefore A + B = 90°
$\Rightarrow\text{A}=90^\circ-\text{B}$
$\Rightarrow\sec\text{A}=\sec(90^\circ-\text{B})$
$\Rightarrow\sec\text{A}=\text{cosec }\text{B}$
Hence the correct option is (d)
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
In the following figure, the shaded area is: 
The pair of linear equations $3 x+2 y=5$ and $2 x-3 y=7$ are
→In $\triangle\text{ABC}, D$ and $E$ are points on side $AB$ and $AC$ respectively such that $DE \| BC$ and $AD : DB = 3 : 1.$ If $EA = 3.3\ cm,$ then $AC =$
→The surface areas of two spheres are in $e$ ratio $16: 9$. The ratio o their volumes is:
→In the given figure, QR is a common tangent to the two given circles touching externally at A . The tangent at A meets QR at P . If $AP =4.2 cm$, then the length of QR is :
→Which of the following pairs of lines in a circle cannot be parallel?
In the given figure, the number of zeroes of the polynomial $f(x)$ are:
→In $\triangle A B C, D$ and $E$ are points on side $A B$ and $A C$ respectively such that $D E \| B C$ and $A D: D B=3: 1$. If $E A=3.3 cm$, then $A C=$
→A rectangular sheet of paper 40cm × 22cm, is rolled to form a hollow cylinder of height 40cm. The radius of the cylinder (in cm) is:
A number when divided by 143 leaves 31 as remainder. What will be the remainder when the same number is divided by 13?