Question

find the value of sin 30 cos 45+cos 60 sin 45​

Answer 1

Answer:

1/√2

Step-by-step explanation:

sin30 = 1/2

cos 45 = 1/√2

cos 60 = 1/2

sin 45 = 1/√2

=) 1/2 * 1/√2 + 1/2 * 1/√2

=) 1/2√2 + 1/2√2

=) 1/√2

Mark it as brainliest

Answer 2

Concept

Trigonometric ratios are the ratios of the sides of a right angled triangle. Sin x is the ratio of perpendicular to hypotenuse, cos x is the ratio of base and hypotenuse, tan x is the ratio of perpendicular and base. Secant is the inverse of cos x , cosecant is the inverse of secant, cotangent is the inverse of tangent.

Given

Expression:sin30cos45+cos60sin45

To find

Evaluate the expression.

Explanation

To evaluate the expression we have to find the value of sin 30, cos 45, cos60 and sin45 individually.

We know sin 30=1/2

cos 45=1/$\sqrt{2}$

cos 60=1/2

sin45=1/$\sqrt{2}$

Now we have to put the values in the expression to get the value.

sin30cos45+cos60sin45=1/2*1/$\sqrt{2}$+1/2*1/$\sqrt{2}$

=1/2$\sqrt{2}$+1/2$\sqrt{2}$

=2/2$\sqrt{2}$

=1/$\sqrt{2}$.

Hence the value of sin30cos45+cos60sin45 is 1/$\sqrt{2}$.

#SPJ3