Question
Very-short and Short-Answer Questions.
Write the value of $\big(1-\sin^2\theta\big)\sec^2\theta.$
Write the value of $\big(1-\sin^2\theta\big)\sec^2\theta.$
✓
Answer
$\big(1-\sin^2\theta\big)\sec^2\theta$$=\cos^2\theta\times\frac{1}{\cos^2\theta}$
$=1$
$=1$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
What is the angle subtended at the centre of a circle of radius $6 \ cm$ by an arc of length $6 \ \pi cm$ ?
→State Fundamental Theorem of Arithmetic.
Very-Short and Short-Answer Qustions:
If $\sin\theta=\frac12,$ write the value of $\big(3\cot^2\theta+3\big).$
→If $\sin\theta=\frac12,$ write the value of $\big(3\cot^2\theta+3\big).$
If from any point on the common chord of two intersecting circles, tangents be drawn to the circles, prove that they are equal.
In Fig. $\frac { P S } { S Q } = \frac { P T } { T R }$ and $\angle P S T = \angle P R Q.$ Prove that $ \triangle$PQR is an isosceles triangle.
Which of the following are quadratic equations?
$\text{x}^2-2\text{x}-\sqrt{\text{x}}-5=0$
→$\text{x}^2-2\text{x}-\sqrt{\text{x}}-5=0$
Find the perimeter of a semicircular protractor whose diameter is 14 cm.
Very-Short and Short-Answer Questions.
Find the value of $\sin48^\circ\sec42^\circ+\cos48^\circ\text{cosec }42^\circ.$
→Find the value of $\sin48^\circ\sec42^\circ+\cos48^\circ\text{cosec }42^\circ.$
12 defective pens are accidently mixed with 132 good ones. It is not possible to just look at pen and tell whether or not it is defective. One pen is taken out at random from this lot. Find the probability that the pen taken out is good one.
250 lottery tickets were sold and there are 5 prizes on these tickets. If kunal has purchased one lottery ticket, what is the probability that he wins a prize?