Question

The value of ${cosec}^2{51}^0-{cot}^2{51}^0$ is

• A. 1
• B. -1
• C. 0
• D. $\frac{1}{2}$

Answer 1

Answer: (A)

1

We know,

$1+{\cot }^2\theta =cose{c}^2\theta$

$\therefore cose{c}^2\theta -{\cot }^2\theta =1$

Thus, $cose{c}^2{51}^o-{\cot }^2{51}^o=1$

Hence, option a is correct.