Question
If sec 2P = sin² 60⁰ + sec 60⁰ - cos² 30⁰, then
determine the value of (√3tan P + cot² P)Solution
ATQ,
sec 2P = sin² 60⁰ + sec 60⁰- cos² 30⁰
Or, sec 2P = (√3/2)² + sec 60⁰- (√3/2)²
Or, sec 2P = sec 60⁰
Or, 2P = 60
Or, 'P' = 30
So, required value = √3 X tan 30⁰ + cot² 30⁰
= √3 X (1/√3) + (√3)²
= 1 + 3 = 4
Exchange-Traded Fund (ETF) is a basket of securities that can be traded on a stock exchange. In this regard, consider the following statements:
1...
Which country recently joined BRICS as a partner state?
How many nations participated in the 63rd session of the Commission for Social Development (CSoCD)?
What is the significance of the CHARAK initiative launched by NCL in Singrauli?
Who won the Tata Steel Masters 2025 chess tournament?
By what percentage did India's core sector grow in May 2024 compared to the same period last year?
What is the deployment timeline mandated by SEBI for funds raised through New Fund Offers (NFOs)?
What is the primary objective of the $500 million loan from the Asian Development Bank to India?
- Which state became the first to notify sub-categorisation of Scheduled Castes in 2025?
Who won the men’s singles title at the India Open 2025 badminton tournament?
Relevant for Exams:
