1-tan 2 A - 2 A is valid for which of the following rangesA- 0 A 90B- 0 A - 90C- 0 - A - 90D- 0 - A 90

The correct option is D 0 A 90 At A = 90^∘, tan A and sec A are not defined. So, A = 90^∘ cannot be included in the range. For A = 0^∘, sec A and tan A are v ...

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Byju's Answer

Standard IX

Mathematics

Relationship between Trigonometric Ratios

1+tan 2 A = 2...

Question

1 + $t a n^{2} A$ = $s e c^{2} A$ is valid for which of the following ranges

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 C
0 A 90

At A = $90^{\circ}$ , tan A and sec A are not defined. So, A = $90^{\circ}$ cannot be included in the range. For A = $0^{\circ}$ , sec A and tan A are valid and also secA and tan A exists for any angle between $0^{\circ}$ and $90^{\circ}$ .

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1 + tan2A = sec2A is valid for which of the following ranges

The correct option is C 0 A 90 At A = 90∘, tan A and sec A are not defined. So, A = 90∘ cannot be included in the range. For A = 0∘, sec A and tan A are valid and also secA and tan A exists for any angle between 0∘ and 90∘.

1 + $t a n^{2} A$ = $s e c^{2} A$ is valid for which of the following ranges

The correct option is C
0 A 90

At A = $90^{\circ}$ , tan A and sec A are not defined. So, A = $90^{\circ}$ cannot be included in the range. For A = $0^{\circ}$ , sec A and tan A are valid and also secA and tan A exists for any angle between $0^{\circ}$ and $90^{\circ}$ .