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Maths Fill In The Blanks[1 Marks ]

Trigonometric Ratios · CBSE STD 10 (CBSE - English Medium). 12 questions.

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Fill In The Blanks[1 Marks ]

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12 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark
If $\triangle ABC$ is an isosceles right triangle right angled at $B$, then $\frac{\tan A+\cot C}{\cot A+\cot C}$ ____________ .
Answer
1
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Question 31 Mark
If $\sin \theta+\cos \theta=1$ and $0^{\circ} \leq \theta \leq 90^{\circ}$, then the possible values of $\theta$ are ____________ .
Answer
$0^{\circ}$ and $90^{\circ}$
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Question 41 Mark
If $\tan \theta+\cot \theta=2$ and, $0^{\circ}<\theta<90^{\circ}$ then $\tan ^{10} \theta+\cot ^{10} \theta$ is equal to ____________ .
Answer
2
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Question 51 Mark
The value of $\cos 1^{\circ} \cos 2^{\circ} \cos 3^{\circ} \ldots \cos 120^{\circ}$ is ____________ .
Answer
0
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Question 71 Mark
If $4 \tan \theta=3$, then $\frac{4 \sin -\cos \theta}{4 \sin \theta+\cos \theta}$ is equal to ____________ .
Answer
$1/2$
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Question 81 Mark
Given that $\sin (\alpha-\beta)=\frac{1}{2}$ and $\cos (\alpha+\beta)=\frac{1}{2}$, then $\alpha$ = ____________ $\beta$ = ____________ .
Answer
$\alpha=45^{\circ}, \beta=15^{\circ}$
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Question 91 Mark
Given that $\sin \alpha=\frac{1}{2}$ and $\cos \beta=\frac{1}{2}$, then $\alpha+\beta=$ ____________ .
Answer
$90^{\circ}$
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Question 101 Mark
The value of $\left(\sin 30^{\circ}+\cos 30^{\circ}\right)^2-\left(\sin 60^{\circ}-\cos 60\right)^2$ is ____________ .
Answer
$\sqrt{3}$
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Question 121 Mark
The value of $\left(\sin 30^{\circ}+\cos 30^{\circ}\right)-\left(\sin 60^{\circ}+\cos 60^{\circ}\right)$ is ____________ .
Answer
0
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