Question
In a triangle ABC, if 5∠A = 3∠B = 15∠C, then find the
value of cosA + sin(C + 10 ° )Solution
Given, 5∠A = 3∠B = 15∠C
Or, ∠A:∠B:∠C = (1/5):(1/3):(1/15) = 3:5:1
Let ∠A, ∠B and ∠C be '3x', '5x' and 'x', respectively
Therefore, 3x + 5x + x = 180 o (sum of the interior angles of a triangle is 180 o )
Or, 9x = 180 o
Or, x = 20 o
Therefore, cosA + sin(C + 10 o ) = cos60 o + sin30 o = (1/2) + (1/2) = 1
Consider the following statements regarding antibiotics
1. They are used to destroy disease-causing bacteria.
2. They can be applied to th...
Which of the following methods is suitable for preventing an iron frying pan from rusting?
Which of the following compounds form nitrites with nitrous acid?
Which of the following represents the correct electronic configuration of nitrogen ?
Stereo was invented by .
A compound that is a white solid which absorbs water vapour from the air is
Two parallel wires of length 10 cm each are separated by a distance of 0.5 cm in a liquid. If the distance between them is increased by 2 mm, how much w...
Which of the following are environment-friendly practices ?
Two capacitors of capacitance 6 µF and 3 µF are connected in series across a battery of constant voltage.
The charges stored on the two capaci...
Which part of cinnamon tree is used in condiments and medicines ?