Verified by Ajay Kumar
If sin θ − cos θ = 3/5, find the value of sin θ + cos θ.
√31/5
5/√41
√41/5
5/√31
Answer: C
Solution: Use \((\sin\theta+\cos\theta)^2+(\sin\theta-\cos\theta)^2=2\). Thus, \((\sin\theta+\cos\theta)^2=2-\frac{9}{25}=\frac{41}{25}\). Therefore, the magnitude of the sum is \(\frac{\sqrt{41}}5\). The green-marked option is C. Note: Since the question does not specify the quadrant of θ, the sign of the sum is not fully determined; the marked positive value is retained.
यदि sin θ − cos θ = 3/5 है, तो sin θ + cos θ का मान ज्ञात कीजिए।
√31/5
5/√41
√41/5
5/√31
उत्तर: C
हल: \((\sin\theta+\cos\theta)^2+(\sin\theta-\cos\theta)^2=2\) का प्रयोग करें। इसलिए \((\sin\theta+\cos\theta)^2=2-\frac{9}{25}=\frac{41}{25}\)। अतः योग का परिमाण \(\frac{\sqrt{41}}5\) है। हरे रंग से चिह्नित विकल्प C है। ध्यान दें: प्रश्न में θ का चतुर्थांश नहीं दिया गया है, इसलिए योग का चिह्न पूरी तरह निर्धारित नहीं होता; चिह्नित धनात्मक मान को यथावत रखा गया है।
Community answers
Votes use a first-party browser cookie to help prevent repeat votes. Votes indicate helpfulness, not correctness.
No community answers yet. Be the first to share how you solved it.
Share your solution
Help other learners understand the steps. Your answer will be reviewed before it appears.