Question
Download Solution PDFsin x ⋅ cos x का अधिकतम मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
sin x का अधिकतम मान 1 है।
cos x का अधिकतम मान 1 है।
sin 2x = 2 sin x cos x
गणना:
निम्न ज्ञात करने के लिए: sin x ⋅ cos x का अधिकतम मान
माना कि f(x) = sin x ⋅ cos x है।
\(\rm = \dfrac{1}{2} \times (2\sin x \times \cos x) \\ = \dfrac{1}{2} \sin 2x\)
चूँकि हम जानते हैं, sin x का अधिकतम मान 1 है।
इसलिए, sin 2x का अधिकतम मान 1 है।
अतः f(x) का अधिकतम मान \(\dfrac{1}{2} \times 1 = \dfrac{1}{2}\) है।
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