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If ( x+ x=1), what is the value of ( x x)? | Trigonomet...
यदि \(\sin x+\cos x=1\), तो \(\sin x\cos x\) का मान क्या है?
If \(\sin x+\cos x=1\), what is the value of \(\sin x\cos x\)?
#sine-cosine
#identity
#product
A \(\frac{1}{2}\)
B (0)
C (1)
D -\(\frac{1}{2}\)
Explanation opens after your attempt
Step 1
Concept
Squaring gives \(1+2\sin x\cos x=1\). Therefore, \(\sin x\cos x=0\).
Step 2
Why this answer is correct
The correct answer is B. (0). Squaring gives \(1+2\sin x\cos x=1\). Therefore, \(\sin x\cos x=0\).
Step 3
Exam Tip
वर्ग करने पर \(1+2\sin x\cos x=1\) मिलता है। इसलिए \(\sin x\cos x=0\)।
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यदि \(\sin x+\cos x=1\), तो \(\sin x\cos x\) का मान क्या है? / If \(\sin x+\cos x=1\), what is the value of \(\sin x\cos x\)?
Correct Answer: B. (0). Explanation: वर्ग करने पर \(1+2\sin x\cos x=1\) मिलता है। इसलिए \(\sin x\cos x=0\)। / Squaring gives \(1+2\sin x\cos x=1\). Therefore, \(\sin x\cos x=0\).
Which concept should I revise for this Mathematics MCQ?
Squaring gives \(1+2\sin x\cos x=1\). Therefore, \(\sin x\cos x=0\).
What exam hint can help solve this Mathematics question?
वर्ग करने पर \(1+2\sin x\cos x=1\) मिलता है। इसलिए \(\sin x\cos x=0\)।
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