In which one of the following subsets- cos 2 A -sin 2 A -1 is validA- 0- A -90B- 0- A - 90C- 0 - A -90D- 0 - A - 90

The correct option is D 0 A 90 sinA and cosA exists for A = 0^∘ as sin0 = 0 and cos0 = 1 sinA and cosA exists for A = 90^∘ as sin90 = 0 and cos90 = 0 We know ...

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Standard XII

Mathematics

Integration by Partial Fractions

In which one ...

Question

In which one of the following subsets , $c o s^{2} A$ + $s i n^{2} A$ = 1 is valid

0 < A < 90

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0 < A 90

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0 A < 90

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0 A 90

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Solution

The correct option is D
0 A 90

sinA and cosA exists for A = $0^{\circ}$ as sin0 = 0 and cos0 = 1

sinA and cosA exists for A = $90^{\circ}$ as sin90 = 0 and cos90 = 0

We know sinA and cosA exists for any angle between 0 an 90.

Therefore the most appropriate subset would be option (d)

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In which one of the following subsets , cos2A + sin2A = 1 is valid

The correct option is D 0 A 90 sinA and cosA exists for A = 0∘ as sin0 = 0 and cos0 = 1 sinA and cosA exists for A = 90∘ as sin90 = 0 and cos90 = 0 We know sinA and cosA exists for any angle between 0 an 90. Therefore the most appropriate subset would be option (d)

In which one of the following subsets , $c o s^{2} A$ + $s i n^{2} A$ = 1 is valid

The correct option is D
0 A 90

sinA and cosA exists for A = $0^{\circ}$ as sin0 = 0 and cos0 = 1

sinA and cosA exists for A = $90^{\circ}$ as sin90 = 0 and cos90 = 0

We know sinA and cosA exists for any angle between 0 an 90.

Therefore the most appropriate subset would be option (d)