If =11 61 find the values of cosθ using trigonometric identity. - Vidyadip

Question

If $\sin \theta=\frac{11}{61}$ find the values of cosθ using trigonometric identity.

✓

Answer

As,
$\sin ^2 \theta+\cos ^2 \theta=1$
$\Rightarrow\left(\frac{11}{61}\right)^2+\cos ^2 \theta=1$
$\Rightarrow \frac{121}{3721}+\cos ^2 \theta=1$
$\Rightarrow \cos ^2 \theta=1-\frac{121}{3721}=\frac{3600}{3721}$
$\Rightarrow \cos \theta=\frac{60}{61}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "2 Marks Questions" from P-2 Trigonometry→P-2 Trigonometry — all question types→Maths STD 10 question papers→Maharashtra Board STD 10 question papers→Maharashtra Board question paper generator→

Similar questions

The first term a and common difference d are given. Find first four terms of A.P :

$a=-1, d=-\frac{1}{2}$

Find the number of coins, 1.5cm is diameter and 0.2cm thick, to be melted to form a right circular cylinder of height 10cm and diameter 4.5cm.

Draw a line segment PQ = 8cm Take a point R on it such that $l( PR ): l( RQ )=3: 2$.

A card is drawn at random from a pack of well shuffled 52 playing cards. Find the probability that the card drawn is a spade.

Triangle ABC and DEF are similar.
If area $\big(\triangle\text{ABC}\big) = 36\text{cm}^2,$ area $\big(\triangle\text{DEF}\big) = 64\text{cm}^2$ and DE = 6.2cm, find AB.

Solve the following quadratic equation by factorization method:
$m^2-7=0$

Very-Short-Answer Question:
If $1$ is a zero of the polynomial $ax^2 - 3(a - 1)x - 1$, then find the value of $a$.

Very-Short-Answer Question:
State division algorithm for polynomials.

If the sum of the zeros of the quadratic polynomial $f(x) = kx^2 - 3x + 5$ is $1$, write the value of $k$.

A path of 8m width runs around the outside of a circular park whose radius is $17\ m$. Find the area of the path.$\Big[\text{Use }\pi=\frac{22}{7}\Big]$