Question
Evaluate:
3cos80° cosec10° + 2 cos59° cosec31°
3cos80° cosec10° + 2 cos59° cosec31°
✓
Answer
3cos80° cosec10° + 2 cos59° cosec31°
= 3cos(90° - 10°) cosec10° + 2cos(90° - 31°) cosec31°
= 3sin10° cosec10° + 2sin31° cosec31°
= 3 + 2 = 5
= 3cos(90° - 10°) cosec10° + 2cos(90° - 31°) cosec31°
= 3sin10° cosec10° + 2sin31° cosec31°
= 3 + 2 = 5
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
If $\frac{x}{b+c-a}=\frac{y}{c+a-b}=\frac{z}{a+b-c}$ then show that (b - c)x + (c - a)y + (a - b) z = 0.
→Two dice are thrown at the same time. Find the probability that the sum of the two numbers appearing on the top of the dice is: 8
Three coins are tossed together. Write all the possible outcomes. Now, find the probability of getting: exactly two heads
Ashok invests Rs.26400 on 12% Rs.25 shares of a company. If he receives a dividend of Rs 2475, find:
(i) the number of shares he bought.
(ii) the market value of each share.
(i) the number of shares he bought.
(ii) the market value of each share.
If $\frac{3 x+5 y}{3 x-5 y}=\frac{7}{3}$, find x : y.
→A triangle LMN has been reduced by scale factor 0.8 to the triangle L' M' N'. Calculate: the length of M' N', if MN = 8 cm.
If the number of square centimeters on the surface of a sphere is equal to the number of cubiccentimeters in its volume, what is the diameter of the sphere?
A triangle ABC is inscribed in a circle. The bisectors of angles BAC, ABC and ACB meet the circumcircle of the triangle at points P, Q and R respectively. Prove that :
∠ABC = 2∠APQ,
∠ABC = 2∠APQ,
Find the $9^{th}$ term of the series :
$1, 4, 16, 64, ..........................$
→$1, 4, 16, 64, ..........................$
Perform the following operation and state the single transformation that take place :
$M_x .M_y$ on $P (2,-5)$
→$M_x .M_y$ on $P (2,-5)$