Question

Hey friend please solve this question

Answer 1

yes and yes.

you're told ∠A=∠B. this means angle A and B are equal. so the value you get for cos A will be the same as the value you'll get for cos B

also, the value you get for tan A will be the same as the value you'll get for tan B

if that doesn't make sense you could also draw the triangle and solve for A and B.

you're told it's a right angled triangle meaning one of the angles = 90

you're told that C is that angle so if C is a right angle, angle C=90

the sum of all the angles in a triangle = 180

so angle A+ angle B + angle C = 180

angle A+ angle B + 90 = 180

angle A+ angle B = 180 - 90

angle A+ angle B = 90

• A and B could be any value but you're told angle A = angle B

        angle A+ angle B = 90

        you can divide 90 by 2 because A and B are equal. that will give you 45 for A and 45 for B

or

• angle A+ angle B = 90

        since angle A = angle B,

1. you can substitute angle A with angle B like this

  angle B+ angle B = 90

  2 angle B = 90

  angle B = 90/2

  angle B=45; ∴ angle A is also 45 ( because angle A= angle B)

2. or you could substitute angle B with angle A

   angle A+ angle A = 90

2 angle A = 90

  angle A = 90/2

  angle A =45; ∴ angle B is also 45 ( because angle A= angle B)

Now you know what A and B are,

sin A = sin 45; sin B = sin 45

sin 45 = sin 45

tan A = tan 45; tan B = tan 45

tan 45 = tan 45