The value of sin^{2}θ
+ is equal to

**A. ** tan^{2} θ

**B. ** 1

**C. ** cot^{2} θ

**D. ** 0

**Answer : ****Option B**

**Explaination / Solution: **

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tanθ cosec^{2}θ - tan
θ is equal to

**A. ** sec θ

**B. ** cot^{2}θ

**C. ** sin θ

**D. ** cotθ

**Answer : ****Option D**

**Explaination / Solution: **

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If (sin *a* + cosec*a*)^{2}
+(cos *a* + sec *a*)^{2} = *k* + tan^{2}*a*
+ cot^{2}*a *, then the value of *k *is equal to

**A. ** 9

**B. ** 7

**C. ** 5

**D. ** 3

**Answer : ****Option B**

**Explaination / Solution: **

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If sin θ + cos θ = *a*
and sec θ + cosec*θ *= *b* , then the value of *b*(*a* ^{2}
-1) is equal to

**A. ** 2a

**B. ** 3a

**C. ** 0

**D. ** 2ab

**Answer : ****Option D**

**Explaination / Solution: **

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If 5*x* = sec θ and 5/*x* = tan θ*, *then *x*^{2}
– (1/* x*^{2}) is equal to

**A. ** 25

**B. ** 1/25

**C. ** 5

**D. ** 1

**Answer : ****Option B**

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If sin θ = cos θ , then 2
tan^{2}θ + sin^{2}θ −1 is equal to

**A. ** -3/2

**B. ** 3/2

**C. ** 2/3

**D. ** -2/3

**Answer : ****Option B**

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If *x *=* a *tan*
θ *and* y *=* b *sec* θ *then

**A. **

**B. **

**C. **

**D. **

**Answer : ****Option A**

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(1 + tan θ + sec θ)(1 + cot θ − cosecθ) is equal to

**A. ** 0

**B. ** 1

**C. ** 2

**D. ** -1

**Answer : ****Option C**

**Explaination / Solution: **

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If the ratio of the height of a tower and the length of its shadow is √3 : 1 then the angle of elevation of the sun has measure

**A. ** 45°

**B. ** 30°

**C. ** 90°

**D. ** 60°

**Answer : ****Option D**

**Explaination / Solution: **

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