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.
Choose the correct spelling from the options given.
- Choose the alternative which is closest to the opposite in meaning of the bold word in the sentence.
Further discussion seems superfluous , given t... 1) He makes
2) vague illusions to
3) Lady Diana
4) being his cousin.
5) No error
In each sentence below, four words are given in bold. One of them may be incorrectly spelt. Identify the incorrectly spelt word. If all are correct, ch...
Choose the antonym of the bold word.
The soldier showed remarkable courage.
Flower : Bud :: Plant : ?
The highest point
Choose the one which best expresses the meaning of the given word .
Precarious
An abnormal desire to steal
Select the correctly spelt word.
