Question

if theeta is 45°, then what is the value if 2sec²theeta+3cosec²theeta?

Answer 1

theta= 45°

sec45= √2

cosec45=√2

therefore, 2sec²45 + 3cosec²45

= 2(√2)² + 3(√2)²

= 2(2) + 3(2)

= 4 + 6

= 10

Answer 2

Solution : ¢ = 45° (Given )
2sec²¢ + 3cosec²¢ = ?
putting ¢ = 45°
Therefore , 2sec²45° + 3cosec²45°
But, As we know that , sec45° = √2
and, cosec45° = √2
Hence, 2× ( √2)² + 3 (√2)²
= 4 + 6 = 10 Answer ✔
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