Answer:
sin θ =
Step-by-step explanation:
Given that,
cos θ =
From the trigonometric functions,
cos θ =
⇒ adjacent = , and the hypotenuse = 3
Let the opposite side be represented by x, applying the Pythagoras theorem we have;
=
+
=
+
9 = 3 +
= 9 - 3
= 6
x =
Thus, opposite side =
So that,
sin θ =
=
Therefore,
sin θ =
Answer:
Step-by-step explanation:
As long as the indices are the same for all the radicals, you can multiply them together. Our index for each of these is 2 (square root) so we multiply them all together and put it under 1 square root sign (radical):
The largest perfect square in 150 is 25, and the 6th power on the x needs just to be rewritten in terms of an exponent of 2 to give us:
and pull out the perfect squares to get
