In a right angle triangle ABC with right angle at B , in which a = 24 units , b = 25 units and angle BAC = theta . then find costheta and tan theta.
Answers
Answer:
A right-angled triangle is a type of triangle that has one of its angles equal to 90 degrees. The other two angles sum up to 90 degrees. The sides that include the right angle are perpendicular and the base of the triangle. The third side is called the hypotenuse, which is the longest side of all three sides.
Question :
In a right angle triangle ABC with right angle at B , in which a = 24 units , b = 25 units and angle BAC = theta . then find costheta and tan theta.
To find :
cos θ and tan θ
Formula Used :
- cos θ = hypotentuse/adjacent
- tan θ = opposite/hypotentuse
SoLution :
We need to find the Adjacent here to get both cos θ
→ (CA)² = (AB)² + (BC)²
→ (25)² = (AB)² + (24)²
→ 625 = (AB)² + 576
→ (AB)² = 625 - 576
→ AB = √49
→ AB = 7
Now,
cos θ
cos θ = hyp/adj
= 25/7
tan θ
tan θ = opp/hyp
= 24/25
Hence,
- cos θ = 25/7
- tan θ = 24/25
