Online Trigonometry Help

Online Trigonometry Help The word Trigonometry comes from a Greek word and the meaning of it is triangle measure. Like the word means, Trigonometry is the branch of Mathematics which involves the study of the measure of sides and angles of a triangle using 6 important trigonometric functions: sine, cosine, tangent, cosecant, secant and cotangent of a given angle. The functions cosecant, secant and cotangent are the reciprocals of the functions sine, cosine and tangent respectively. These functions are very useful in evaluating the lengths of the sides and measure of angles in a triangle and other geometric structures. Example 1: Given the angle x in the first quadrant. If sin(x) = 2/5, then what is the value of the trigonometric function, cos(x)? Given: sin(x) = 2/5 According to the trigonometric identity: sin2(x) + cos2(x) = 1. This gives: cos2(x) = 1 sin2(x) Applying the above formula we get - cos2(x) = 1 (2/5)2 This gives: cos2(x) = 1 4/5 Taking the common denominator we get: cos2(x) = (5 4)/5 = 1/5 Hence, cos(x) = (1/5) = 1/5 Therefore the value of cos(x) = 1/5 Example 2: Given the angle x in the first quadrant and sin(x) = 2/5 and cos(x) = 1/5. What are the values of the trigonometric functions, tan(x), cosec(x), sec(x) and cot(x)? Given: sin(x) = 2/5 and cos(x) = 1/5 tan(x) can be calculated using the formula -tan(x) = sin(x)/ cos(x) This gives: tan(x) = (2/5)/ (1/5) - tan(x) = 2/1 Now, cosec(x) = 1/sin(x) = 1/ (2/5) - cosec(x) = 5/2 Similarly, sec(x) = 1/cos(x) = 1/ (1/5) - sec(x) = 5/1 And, cot(x) = 1/tan(x) = 1/ (2/1) - cot(x) = 1/2

Writing Poetry English Writing Online Tutorpace

Writing Poetry English Writing Online Tutorpace Poetry is the combination of powerful emotion and skillful and concise expression mixed with rhyme and meter or even without. Poetry is not written in complete sentences but in lines which convey the emotion in complete thought patterns. To create powerful poetry, the writers employ literary devices such as alliteration, diction, imagery, metaphor, onomatopoeia, simile, stanza and symbols. There are many more such devices but not all could be even mentioned for lack of space. The form of poem is decided by the poet not the page of a paper. Division of Poems Poems can be divided into stanzas and the number of lines in a stanza differs from poem to poem. Some of the poems like ballads can be set to music due to the internal and external rhythm of the verse and stanzas and the refrain, which is set at the end of each stanza. Poets use words effectively and thus infuse layers of meaning on various levels. Poems thus created appeal to the senses and touch the readers fantasies at times. Above all, poems are artistic creations in powerful language conveying any type of emotion, which connects the readers with the world. Some poets use various meters to enhance the effect of auditory appeal to their poems.