2014 · Q61
What is (1 + cot x − cosec x)(1 + tan x + sec x) equal to?
Elementary MathematicsTrigonometry
- A1
- B2
- Csin x
- Dcos x
Explanation
= ((sin x + cos x − 1)/sin x)((sin x + cos x + 1)/cos x) = ((sin x + cos x)² − 1)/(sin x cos x) = 2.
What is (1 + cot x − cosec x)(1 + tan x + sec x) equal to?
Explanation
= ((sin x + cos x − 1)/sin x)((sin x + cos x + 1)/cos x) = ((sin x + cos x)² − 1)/(sin x cos x) = 2.