Question

In a right triangle ABC, right angled at B, BC=15cm, and AB=8cm, then answer the following questions.
1) the value of cos(angle C) is
2) the value of sin^2 (angle A) + cos^2 ( angle A) is
3) the value of tan (angle A) is
4) the value of cos (angle A + angle C/ 2) is​

Answer 1

Answer:

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Step-by-step explanation:

Using Pythagoras theorem in △ABC

(AB)2+(BC)2=(AC)2(15)2+(8)2=(AC)2⇒(AC)2=225+64=289⇒AC=17cm

Now inradius r=sΔ

where Δ is the area of triangle and s is semi perimeter.

Δ=21×8×15=60

s=28+15+17=240=20⇒r=sΔ=2060=3cm