Question

Evaluate :
cos 45°/sec 30° + 1/sec 60°​

Answer 1

Answer:

(√3+√2  /   2√2)

Step-by-step explanation:

cos 45°/sec 30° + 1/sec 60°​

==(1/√2)/(2/√3)   +  1/2

=1/√2×√3/2  +   1/2

=√3/2√2  +   1/2

=(√3+√2)   +   √2/2√2

=(√3+√2  /   2√2)

Hope it Helps

Answer 2

Step-by-step explanation:

x = 10.333333......... ----------(1)

As it is non terminating repeating Rational number.

Multiplying both sides by 10,we get

1 0 x = 103.333333...... --------(2)

(2) - (1)

1 0 x - x = 103.333333... - 10.3333333.....

9 x = 93

x= \frac{93}{9}=\frac{31}{3}

9

93

=

3

31

As, denominator of 10.33333.... is 3, which itself is a prime number.

So Prime factors of 3 are 1 and itself that is 3.