Question

0
ood
e in a
right-angled triangle, it is given that angle A is an acute angle and that
(2)
tanA=
Find the values of:
(i) cos A
(ii) cosec A-cot A.
(a) In AABC, ZA = 90°. If AB = 7 cm and BC - AC = 1 cm, find :
(ii) tan B
(b) In APQR, ZQ = 90°. If PQ = 40 cm and PR + QR = 50 cm, find :
(ii) cos P
(iii) tan R.
(i) sin C
(i) sin P
413
Trigonometrical Ratios​

Answer 1

Answer:

MATHS

In a right-angled triangle, it is given that angle A is an acute angle and that tan A=5/12 Find the values of:

(i) cos A

(ii) cosec A

(iii) cot A.

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ANSWER

Here, ABC is right angled triangle

∠A is an acute angle and ∠C=90

0

tan A = 5/12

BC/AC =5/12

Let BC = 5x and AC = 12x

From right angled ΔABC

By Pythagoras theorem, we get

AB

2

=(5x)

2

+(12x)

2

AB

2

=25x

2

+144x

2

AB

2

=169x

2

(i) cos A = Base/ Hypotenuse

= AC / AB

= 12x/13x

=12/13

(ii) cosec A = Hypotenuse/perpendicular

= AC / BC

= 13x /5x

= 13/5

cot A = Base/perpendicular

=12/5