Introduction to Trigonometry Test

Result

Introduction to Trigonometry Test - 1

Score
-
out of -
Rank
-
out of -

TIME Taken - -

SHARING IS CARING

If our Website helped you a little, then kindly spread our voice using Social Networks. Spread our word to your readers, friends, teachers, students & all those close ones who deserve to know what you know now.

Weekly Quiz Competition

Question 1
1 / -0

What is the value of cos 0° . sin 25° . sec 85° . tan 45° . cosec 5° . cos 65° . sin 90° ?

A
0

B
sin²25° . sec²85°

C
1

D
sin²25° . cos²85°

Solution

cos 0° . sin 25° . sec 85° . tan 45° . cosec 5° . cos 65° . sin 90°
= (1) sin 25° . sec 85° . (1) . sec(90° - 5°) . sin(90° - 65°) . (1)
= sin 25° . sec 85° . sec 85° . sin 25°
= sin²25° . sec²85°
Question 2
1 / -0

If sinθ - cotθ = 1 and cosec²θ = 1, then cosθ is equal to

A
1

B
0

C
-1

D
-1/2

Solution

Given: sinθ - cotθ = 1 .......(i)
cosec²θ = 1.......(ii)
∵ cosec²θ - cot²θ = 1
1 - cot²θ = 1 (From equation (ii))
cot²θ = 0
cotθ = 0
Put the value of cotθ in equation (i), we get
sinθ - 0 = 1
sinθ = 1
∵ sin²θ + cos²θ = 1
1 + cos²θ = 1
cos²θ = 0
cosθ = 0