Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

What is the value of $sin^2 60 +tan^2 45 + sec^245 - cosec^2 30$ ?

Options:

4

$\frac{1}{4}$

$-\frac{1}{4}$

-4

Correct Answer:

$-\frac{1}{4}$

Explanation:

sin² 60º + tan² 45º + sec² 45º  - cosec² 30º 

= ( \(\frac{ √3 }{2}\) )² + 1 + ( √2 )² - ( 2 )² 

= ( \(\frac{ 3 }{4}\) ) - 1

= - \(\frac{ 1 }{4}\)