Question
If tan θ = 4/3 and θ is an acute angle, find the value
of sin θ + cos θ.Solution
Given tan θ = 4/3, From the definition of tan θ, tan θ = opposite/adjacent = 4/3. Using the Pythagorean theorem, Hypotenuse = √(4² + 3²) = √(16 + 9) = √25 = 5. So, sin θ = opposite/hypotenuse = 4/5 and cos θ = adjacent/hypotenuse = 3/5. Now, sin θ + cos θ = 4/5 + 3/5 = 7/5.
What does the term ‘MIGA’ stand for in the context of India-US relations?
NTPC launched green hydrogen buses at Leh under which initiative?
Who among the following recently re-elected as the chairman of the Association of Mutual Funds in India (Amfi)?
Which country recently joined BRICS as a partner state?
- Which insurance company was appointed as the Lead Insurer for Uttar Pradesh by IRDAI?
How many times has Nepalese Sherpa Kami Rita successfully climbed Mount Everest as of May 2025?
- Which international bank released the report titled “World Economic Outlook: Securing Low Inflation and Strong Growth” in March 2025?
What milestone did India achieve in semiconductor development through C-DOT and IIT Delhi collaboration?
What is the total target corpus of the H-DREAM Fund launched by IFC and HDFC Capital Advisors for green affordable housing?
What initiative was launched to track misleading advertisements in Ayush medicine?
