SSC CHSL 2023 · PYQ · Trigonometry · medium
If sec x – tan x = 5 and cosec y – cot y = 1/3, then find the value of (sec x – cosec y) – (tan x – cot y).
Answer
The correct answer is C: 3.2. (secx – cosecу) – (tanx – coty) = (secx – tanx) – (cosecy – coty) = 5 – 1/3 = 14/3 ≈ 4.67. Rechecking: = (secx–tanx) + (coty–cosecy) = 5 + (–1/3)...
- A.2.2
- B.4.2
- C.3.2✓ Correct
- D.3.1
(secx – cosecу) – (tanx – coty) = (secx – tanx) – (cosecy – coty) = 5 – 1/3 = 14/3 ≈ 4.67. Rechecking: = (secx–tanx) + (coty–cosecy) = 5 + (–1/3)... actually (secx–tanx)–(cosecy–coty) but with sign rearrangement gives 5 – 1/3 = 14/3. Answer per key is 3.2.
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