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.
In 1845, which German chemist published a method for the synthesis of acetic acid, a natural product containing two carbon atoms?
What will be the median of the given data?
1, 1.1, 2.3, 0.1, 0.9, 5, 3.9, 2.5, 4.2, 4.6
Which of the following is a non-conventional source of energy?
Under the Pradhan Mantri Awas Yojana-Urban (PMAY-U) 2.0, what is the total financial assistance allocated by the Government of India to support the cons...
In 2015, how many United Nations members adopted Sustainable Development Goals?
Who among the following is associated with the musical instrument Surbahar?
Which of the following is the correct formula for moment of inertia?
Which of the following taxes is proportional in nature?
The Constitution of India borrowed the concept of the Directive Principles of State Policy from the Constitution of
What is the maximum investment limit for retail investors in primary issuances of Government Securities (G-Secs)?
