Given below are two statements. STATEMENT - 1: 5 +3 ( + 3 )+3 lies between - 4 and 10…
Mathematics · JEE Main · NTA Exams — Trigonometry
Given below are two statements.
STATEMENT - 1: \(5 \cos \theta+3 \cos \left(\theta+\frac{\pi}{3}\right)+3\) lies between - 4 and 10.
STATEMENT - 2:\(\left.\begin{array}{l} -1 \leq \sin \theta \leq 1 \\ -1 \leq \cos \theta \leq 1 \end{array}\right\}\) for all real values of θ.
In the light of the above statements, choose the correct answer from the options given below:
- Both the statements are true and Statement - 2 is the correct explanation for Statement - 1
- Both the statements are true but Statement - 2 is not the correct explanation for Statement - 1
- Statement - 1 is false and Statement - 2 is true.
- Statement - 1 is true and Statement - 2 is false
Answer
(A) Both the statements are true and Statement - 2 is the correct explanation for Statement - 1
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