Question
Download Solution PDFयदि sec2 α + cos2 α = 2 है, तो sec α + cos α मान क्या होगा?
This question was previously asked in
Bihar STET TGT (Maths) Official Paper-I (Held On: 04 Sept, 2023 Shift 1)
Answer (Detailed Solution Below)
Option 1 : ± 2
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Bihar STET Paper 1 Mathematics Full Test 1
150 Qs.
150 Marks
150 Mins
Detailed Solution
Download Solution PDFगणना:
(sec α + cos α)2 = sec2 α + cos2 α + 2 × sec α × cos α
⇒ (sec α + cos α)2 = sec2 α + cos2 α + 2 × 1/cos α × cos α
⇒ (sec α + cos α)2 = sec2 α + cos2 α + 2 = 2 + 2 = 4
दोनों ओर का वर्गमूल लेने पर,
⇒ (sec α + cos α) = ± 2
अतः सही उत्तर ± 2 है।
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