Topics

1). If $$\Large \triangle ABC$$ is right angled at C, then what is cos (A + B) + Sin (A + B) equal to?
 A). 0 B). $$\Large \frac{1}{2}$$ C). 1 D). 2
2). If $$\Large \alpha$$, $$\Large \beta$$ and $$\Large \gamma$$ are acute angled such that $$\Large sin \ \alpha=\frac{\sqrt{3}}{2} \ cos \ \beta=\frac{\sqrt{3}}{2}$$ and tan r=1 then what is $$\Large \alpha + \beta + \gamma$$ equal to?
 A). 105 degree B). 120 degree C). 135 degree D). 150 degree
3). If $$\Large tan \ \theta$$ = 3/4 and $$\Large \theta$$ is acute, then what is the value of $$\Large sin \ \theta$$?
 A). $$\Large -\frac{3}{5}$$ B). $$\Large \frac{3}{5}$$ C). $$\Large \frac{4}{5}$$ D). $$\Large -\frac{4}{5}$$
4). If $$\Large sin \ \theta =\frac{a^{2}-1}{a^{2}+1}$$ then the value of $$\Large sec \ \theta + tan \ \theta$$ will be
 A). $$\Large \frac{a}{\sqrt{2}}$$ B). $$\Large \frac{a}{a^{2}+1}$$ C). $$\Large \sqrt{2}a$$ D). a
5). If $$\Large \alpha + \beta$$=90 degree and $$\Large \alpha : \beta$$=2:1 then the value of $$\Large sin \alpha : sin \beta$$ is
 A). $$\Large \sqrt{3}:1$$ B). 2 : 1 C). 1 : 1 D). $$\Large \sqrt{2}:1$$

6). If $$\Large sin \ \theta + cos \ \theta =1$$, what is the value of $$\Large sin \ \theta \ cos \ \theta$$?
 A). 2 B). 0 C). 1 D). 1/2
7). If $$\Large tan \theta$$ = 3/4 and $$\Large \theta$$ is acute, then $$\Large cosec \theta$$ is equal to
 A). $$\Large \frac{5}{3}$$ B). $$\Large \frac{5}{4}$$ C). $$\Large \frac{4}{3}$$ D). $$\Large \frac{3}{4}$$
8). The value of $$\Large \left(\frac{1}{(1+tan^{2} \theta )}+\frac{1}{(1+cot^{2} \theta )}\right)$$ is
 A). 1 B). 2 C). $$\Large \frac{1}{2}$$ D). $$\Large \frac{1}{4}$$
9). The minimum value of $$\Large sin^{2} \theta+cos^{4} \theta$$ is
 A). $$\Large \frac{1}{\sqrt{2}}$$ B). $$\Large \frac{3}{5}$$ C). $$\Large \frac{3}{4}$$ D). $$\Large \frac{2}{3}$$
10). If $$\Large sec \theta +tan \theta =2$$, what is the value of $$\Large sec \theta$$ ?
 A). $$\Large \frac{3}{2}$$ B). $$\Large \sqrt{2}$$ C). $$\Large \frac{5}{2}$$ D). $$\Large \frac{5}{4}$$
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Total Pages : 39