### Scholastic Aptitude Test - Mathematics - Trigonometry

#### Question - 1

If √3 tanθ=3 Sinθ, then value of Sin2θ-Cos2θ is

• A $\frac{1}{\sqrt{3}}$
• B $\frac{1}{\sqrt{2}}$
• C $\frac{1}{3}$
• D $\frac{1}{4}$

#### Question - 2

If sin170=$\frac{x}{y}$, then the value of Sec170 - Sin730 is

• A $\frac{y^{2}-x^{2}}{xy}$
• B $\frac{x^{2}}{\sqrt{y^{2}-x^{2}}}$
• C $\frac{x^{2}}{y\sqrt{y^{2}+x^{2}}}$
• D $\frac{x^{2}}{y\sqrt{y^{2}-x^{2}}}$

#### Question - 3

If θ$\frac{\pi}{2}$ and sec x=cosec y, then the value of sin(x+y) is

• A 0
• B 1
• C $\frac{1}{3}$
• D $\frac{1}{\sqrt{3}}$

#### Question - 4

The simplified value of (SecA- CosA)2 +(CosecA - SinA)2 - ( cot A - tanA)2 is

• A 0
• B $\frac{1}{2}$
• C 1
• D 2

#### Question - 5

The value of sin210+sin250+sin290.....+sin2890 is

• A 11$\frac{1}{2}$
• B 11√2
• C 11
• D $\frac{11}{\sqrt{2}}$

#### Question - 6

If cosec 390=x, the value of $\frac { 1 }{ { cos }^{ 2 }51° } +{ sin }^{ 2 }39°+{ tan }^{ 2 }51°-\frac { 1 }{ { sin }^{ 2 }51°{ sec }^{ 2 }39° }$is

• A $\sqrt{x^{2}-1}$
• B $\sqrt{1-x^{2}}$
• C x2-1
• D 1-x2

#### Question - 7

If sinθ+cosecθ=2, then value of sin100θ+cosec100θ is

• A 1
• B 2
• C 3
• D 100

#### Question - 8

If x, y are acute angles, 0<x+y<900 and Siri(2x - 200) = Cos(2y+ 200). value of Tan(x+y) is

• A $\frac{1}{\sqrt{3}}$
• B $\frac{\sqrt{3}}{2}$
• C √3
• D 1

#### Question - 9

The value of Sin15° is

• A $\frac{\sqrt{3}+1}{2\sqrt{2}}$
• B $\frac{\sqrt{3}-1}{2\sqrt{2}}$
• C $\frac{\sqrt{\sqrt{2}-\sqrt{3}}}{2}$
• D $\frac{\sqrt{\sqrt{2}+\sqrt{3}}}{2}$

#### Question - 10

If φ and θ are complementary angles. then:

• A sinθ=sinφ
• B cosθ=cosφ
• C tanθ=tanφ
• D secθ=cosecφ