Question

sin2 45 +cos2 45 ÷ tan2 60

Answer 1

Kul !!

$\frac{ { \sin(45) }^{2} + { \cos(45) }^{2} }{ { \tan(60) }^{2} }$

( 1 / √2 ) ² + ( 1 / √2 ) ² / √3

= 1 / 2 + 1 / 2 / √3

= 1 / √3

Regards
- Me

Answer 2

Answer:

Concept:

      A branch of mathematics called trigonometry examines connections between triangles' sides and angles. Due to the fact that every straight-sided form can be decomposed into a group of triangles, trigonometry may be found across all of geometry.

Step-by-step explanation:

• The sine, cosine, and tangent are the three fundamental trigonometric operations.

• Trigonometry is used to establish directions like the north, south, east, and west. It also tells you the direction to point the compass in order to travel straight forward.
• To locate a certain location, it is used in navigation. It is also employed to calculate the separation between a location in the sea and the shore.
• The crucial angles in trigonometry are 0, 30, 45, 60, and 90 degrees. The standard angles used in trigonometric ratios like sin, cos, tan, sec, cosec, and cot are these. With various trig functions, each of these angles has a distinct value.

Given:

sin² 45 +cos² 45 ÷ tan² 60

To find:

sin² 45 +cos² 45 ÷ tan² 60

Solution:

we know that  the values of

sin 45°= $\frac{1}{\sqrt{2} }$

cos 45° = $\frac{1}{\sqrt{2} }$

tan 60° = $\sqrt{3}$

By substituting the values in the given equation we get

    = (($\frac{1}{\sqrt{2} }$)² + ($\frac{1}{\sqrt{2} }$)²) ÷ ($\sqrt{3} ^{2}$)

    = (($\frac{1}{2}$ + $\frac{1}{2}$)) ÷ (3)

    =  $\frac{1}{3}$

Therefore  the value of sin² 45 +cos² 45 ÷ tan² 60 is  $\frac{1}{3}$ .

#SPJ2